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105797172 = 2231331131167
BaseRepresentation
bin1100100111001…
…01011000110100
321101002001102210
412103211120310
5204041002142
614255333420
72423155365
oct623453064
9241061383
10105797172
11547a0a88
122b521270
1318bc33a0
141009db6c
15944c49c
hex64e5634

105797172 has 96 divisors (see below), whose sum is σ = 278175744. Its totient is φ = 31075200.

The previous prime is 105797161. The next prime is 105797173. The reversal of 105797172 is 271797501.

It is a super-2 number, since 2×1057971722 = 22386083206395168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 105797172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105797173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633433 + ... + 633599.

It is an arithmetic number, because the mean of its divisors is an integer number (2897664).

Almost surely, 2105797172 is an apocalyptic number.

105797172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105797172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139087872).

105797172 is an abundant number, since it is smaller than the sum of its proper divisors (172378572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105797172 is a wasteful number, since it uses less digits than its factorization.

105797172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 39.

The square root of 105797172 is about 10285.7752260099. The cubic root of 105797172 is about 472.9602983422.

The spelling of 105797172 in words is "one hundred five million, seven hundred ninety-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 131 156 167 186 262 334 372 393 403 501 524 668 786 806 1002 1209 1572 1612 1703 2004 2171 2418 3406 4061 4342 4836 5109 5177 6513 6812 8122 8684 10218 10354 12183 13026 15531 16244 20436 20708 21877 24366 26052 31062 43754 48732 52793 62124 65631 67301 87508 105586 131262 134602 158379 201903 211172 262524 269204 284401 316758 403806 568802 633516 678187 807612 853203 1137604 1356374 1706406 2034561 2712748 3412812 4069122 8138244 8816431 17632862 26449293 35265724 52898586 105797172