100916009291 has 16 divisors (see below), whose sum is σ = 105446642400. Its totient is φ = 96492963840.

The previous prime is 100916009273. The next prime is 100916009303. The reversal of 100916009291 is 192900619001.

It is a cyclic number.

It is not a de Polignac number, because 100916009291 - 2³⁴ = 83736140107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100916009791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973961 + ... + 1072581.

It is an arithmetic number, because the mean of its divisors is an integer number (6590415150).

Almost surely, 2^100916009291 is an apocalyptic number.

100916009291 is a deficient number, since it is larger than the sum of its proper divisors (4530633109).

100916009291 is an equidigital number, since it uses as much as digits as its factorization.

100916009291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99166.

The product of its (nonzero) digits is 8748, while the sum is 38.

The spelling of 100916009291 in words is "one hundred billion, nine hundred sixteen million, nine thousand, two hundred ninety-one".