10000929120 has 192 divisors, whose sum is σ = 38773002240. Its totient is φ = 2110076928.

The previous prime is 10000929079. The next prime is 10000929131. The reversal of 10000929120 is 2192900001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70800 + ... + 158159.

It is an arithmetic number, because the mean of its divisors is an integer number (201942720).

Almost surely, 2^10000929120 is an apocalyptic number.

10000929120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000929120 is an abundant number, since it is smaller than the sum of its proper divisors (28772073120).

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

10000929120 is a wasteful number, since it uses less digits than its factorization.

10000929120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228997 (or 228989 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 10000929120 in words is "ten billion, nine hundred twenty-nine thousand, one hundred twenty".