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106845774 = 2372536857
BaseRepresentation
bin1100101111001…
…01011001001110
321110001022211220
412113211121032
5204323031044
614334024210
72435113500
oct627453116
9243038756
10106845774
11553478a2
122b948066
131919c769
1410293d70
1595a8019
hex65e564e

106845774 has 48 divisors (see below), whose sum is σ = 253307088. Its totient is φ = 29947008.

The previous prime is 106845769. The next prime is 106845803. The reversal of 106845774 is 477548601.

It is a super-2 number, since 2×1068457742 = 22832038843318152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12154 + ... + 19010.

It is an arithmetic number, because the mean of its divisors is an integer number (5277231).

Almost surely, 2106845774 is an apocalyptic number.

106845774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106845774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126653544).

106845774 is an abundant number, since it is smaller than the sum of its proper divisors (146461314).

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

106845774 is a wasteful number, since it uses less digits than its factorization.

106845774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6929 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 106845774 is about 10336.6229494937. The cubic root of 106845774 is about 474.5177361965.

The spelling of 106845774 in words is "one hundred six million, eight hundred forty-five thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 371 742 1113 2226 2597 5194 6857 7791 13714 15582 20571 41142 47999 95998 143997 287994 335993 363421 671986 726842 1007979 1090263 2015958 2180526 2543947 5087894 7631841 15263682 17807629 35615258 53422887 106845774