100129824 has 48 divisors (see below), whose sum is σ = 292047840. Its totient is φ = 33376320.

The previous prime is 100129823. The next prime is 100129859. The reversal of 100129824 is 428921001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100129823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57082 + ... + 58809.

It is an arithmetic number, because the mean of its divisors is an integer number (6084330).

Almost surely, 2^100129824 is an apocalyptic number.

It is an amenable number.

100129824 is an abundant number, since it is smaller than the sum of its proper divisors (191918016).

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

100129824 is a wasteful number, since it uses less digits than its factorization.

100129824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115910 (or 115896 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100129824 is about 10006.4890945826. The cubic root of 100129824 is about 464.3596597106.

The spelling of 100129824 in words is "one hundred million, one hundred twenty-nine thousand, eight hundred twenty-four".