105129864 has 48 divisors (see below), whose sum is σ = 325403520. Its totient is φ = 30036960.

The previous prime is 105129859. The next prime is 105129877. The reversal of 105129864 is 468921501.

It is a super-2 number, since 2×105129864² = 22104576609316992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103792 + ... + 104799.

It is an arithmetic number, because the mean of its divisors is an integer number (6779240).

Almost surely, 2^105129864 is an apocalyptic number.

105129864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105129864 is an abundant number, since it is smaller than the sum of its proper divisors (220273656).

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

105129864 is a wasteful number, since it uses less digits than its factorization.

105129864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208610 (or 208603 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 105129864 is about 10253.2855222119. The cubic root of 105129864 is about 471.9638127001.

The spelling of 105129864 in words is "one hundred five million, one hundred twenty-nine thousand, eight hundred sixty-four".