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105374436 = 22317949057
BaseRepresentation
bin1100100011111…
…10001011100100
321100021120112220
412101332023210
5203433440221
614242312340
72416445046
oct621761344
9240246486
10105374436
1154532412
122b3586b0
1318aa5b4b
14ddcda96
1593b70c6
hex647e2e4

105374436 has 24 divisors (see below), whose sum is σ = 247252320. Its totient is φ = 34927872.

The previous prime is 105374419. The next prime is 105374471. The reversal of 105374436 is 634473501.

It is a super-2 number, since 2×1053744362 = 22207543524636192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105374397 and 105374406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22381 + ... + 26676.

It is an arithmetic number, because the mean of its divisors is an integer number (10302180).

Almost surely, 2105374436 is an apocalyptic number.

It is an amenable number.

105374436 is an abundant number, since it is smaller than the sum of its proper divisors (141877884).

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

105374436 is a wasteful number, since it uses less digits than its factorization.

105374436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49243 (or 49241 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 105374436 is about 10265.2051124174. The cubic root of 105374436 is about 472.3295182953.

The spelling of 105374436 in words is "one hundred five million, three hundred seventy-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 179 358 537 716 1074 2148 49057 98114 147171 196228 294342 588684 8781203 17562406 26343609 35124812 52687218 105374436