105129536 has 14 divisors (see below), whose sum is σ = 208616550. Its totient is φ = 52564736.

The previous prime is 105129529. The next prime is 105129589. The reversal of 105129536 is 635921501.

It can be written as a sum of positive squares in only one way, i.e., 79566400 + 25563136 = 8920^2 + 5056^2 .

It is a super-2 number, since 2×105129536² = 22104438679150592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 821261 + ... + 821388.

Almost surely, 2^105129536 is an apocalyptic number.

105129536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105129536 is a deficient number, since it is larger than the sum of its proper divisors (103487014).

105129536 is an equidigital number, since it uses as much as digits as its factorization.

105129536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642661 (or 1642651 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 105129536 is about 10253.2695273264. The cubic root of 105129536 is about 471.9633218650.

The spelling of 105129536 in words is "one hundred five million, one hundred twenty-nine thousand, five hundred thirty-six".