100516722105 has 64 divisors (see below), whose sum is σ = 174465527040. Its totient is φ = 49244599296.

The previous prime is 100516722083. The next prime is 100516722133. The reversal of 100516722105 is 501227615001.

It is not a de Polignac number, because 100516722105 - 2²⁶ = 100449613241 is a prime.

It is a super-2 number, since 2×100516722105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3073419 + ... + 3105951.

It is an arithmetic number, because the mean of its divisors is an integer number (2726023860).

Almost surely, 2^100516722105 is an apocalyptic number.

100516722105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100516722105 is a deficient number, since it is larger than the sum of its proper divisors (73948804935).

100516722105 is a wasteful number, since it uses less digits than its factorization.

100516722105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32890.

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 100516722105 in words is "one hundred billion, five hundred sixteen million, seven hundred twenty-two thousand, one hundred five".