10100507329 has 16 divisors (see below), whose sum is σ = 11089215936. Its totient is φ = 9123710400.

The previous prime is 10100507311. The next prime is 10100507341. The reversal of 10100507329 is 92370500101.

It is a cyclic number.

It is not a de Polignac number, because 10100507329 - 2¹³ = 10100499137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100507297 and 10100507306.

It is not an unprimeable number, because it can be changed into a prime (10100507359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347139 + ... + 1354615.

It is an arithmetic number, because the mean of its divisors is an integer number (693075996).

Almost surely, 2^10100507329 is an apocalyptic number.

It is an amenable number.

10100507329 is a deficient number, since it is larger than the sum of its proper divisors (988708607).

10100507329 is a wasteful number, since it uses less digits than its factorization.

10100507329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8256.

The product of its (nonzero) digits is 1890, while the sum is 28.

The spelling of 10100507329 in words is "ten billion, one hundred million, five hundred seven thousand, three hundred twenty-nine".