100957356311 has 16 divisors (see below), whose sum is σ = 121463846400. Its totient is φ = 81972723168.

The previous prime is 100957356307. The next prime is 100957356341. The reversal of 100957356311 is 113653759001.

It is not a de Polignac number, because 100957356311 - 2² = 100957356307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100957356341) 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, 1708325 + ... + 1766433.

It is an arithmetic number, because the mean of its divisors is an integer number (7591490400).

Almost surely, 2^100957356311 is an apocalyptic number.

100957356311 is a deficient number, since it is larger than the sum of its proper divisors (20506490089).

100957356311 is a wasteful number, since it uses less digits than its factorization.

100957356311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71198.

The product of its (nonzero) digits is 85050, while the sum is 41.

The spelling of 100957356311 in words is "one hundred billion, nine hundred fifty-seven million, three hundred fifty-six thousand, three hundred eleven".