100916134929 has 45 divisors (see below), whose sum is σ = 154232350041. Its totient is φ = 65758311000.

The previous prime is 100916134889. The next prime is 100916134981. The reversal of 100916134929 is 929431619001.

The square root of 100916134929 is 317673.

It is a perfect power (a square), and thus also a powerful number.

100916134929 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 1 + 613 + 4 + 9 + 29 = 666.

It is not a de Polignac number, because 100916134929 - 2³¹ = 98768651281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100916134729) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 134375304 + ... + 134376054.

Almost surely, 2^100916134929 is an apocalyptic number.

100916134929 is the 317673-rd square number.

100916134929 is the 158837-th centered octagonal number.

It is an amenable number.

100916134929 is a deficient number, since it is larger than the sum of its proper divisors (53316215112).

100916134929 is an frugal number, since it uses more digits than its factorization.

100916134929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 100916134929 in words is "one hundred billion, nine hundred sixteen million, one hundred thirty-four thousand, nine hundred twenty-nine".