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105144702 = 23132971069
BaseRepresentation
bin1100100010001…
…10000101111110
321022211220102020
412101012011332
5203404112302
614233341010
72414500215
oct621060576
9238756366
10105144702
1154395853
122b267766
1318a25400
14dd7007c
15936debc
hex644617e

105144702 has 48 divisors (see below), whose sum is σ = 230272560. Its totient is φ = 31988736.

The previous prime is 105144679. The next prime is 105144719. The reversal of 105144702 is 207441501.

It is a super-2 number, since 2×1051447022 = 22110816717337608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 97824 + ... + 98892.

It is an arithmetic number, because the mean of its divisors is an integer number (4797345).

Almost surely, 2105144702 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105144702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115136280).

105144702 is an abundant number, since it is smaller than the sum of its proper divisors (125127858).

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

105144702 is a wasteful number, since it uses less digits than its factorization.

105144702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 105144702 is about 10254.0090696274. The cubic root of 105144702 is about 471.9860159364.

It can be divided in two parts, 1051 and 44702, that added together give a triangular number (45753 = T302).

The spelling of 105144702 in words is "one hundred five million, one hundred forty-four thousand, seven hundred two".

Divisors: 1 2 3 6 13 26 39 78 97 169 194 291 338 507 582 1014 1069 1261 2138 2522 3207 3783 6414 7566 13897 16393 27794 32786 41691 49179 83382 98358 103693 180661 207386 311079 361322 541983 622158 1083966 1348009 2696018 4044027 8088054 17524117 35048234 52572351 105144702