100726677051 has 64 divisors (see below), whose sum is σ = 185195652096. Its totient is φ = 46995033600.

The previous prime is 100726677041. The next prime is 100726677071. The reversal of 100726677051 is 150776627001.

It is not a de Polignac number, because 100726677051 - 2⁹ = 100726676539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100726676994 and 100726677012.

It is not an unprimeable number, because it can be changed into a prime (100726677031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342160 + ... + 564381.

It is an arithmetic number, because the mean of its divisors is an integer number (2893682064).

Almost surely, 2^100726677051 is an apocalyptic number.

100726677051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100726677051 is a deficient number, since it is larger than the sum of its proper divisors (84468975045).

100726677051 is a wasteful number, since it uses less digits than its factorization.

100726677051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906612.

The product of its (nonzero) digits is 123480, while the sum is 42.

It can be divided in two parts, 100726 and 677051, that added together give a palindrome (777777).

The spelling of 100726677051 in words is "one hundred billion, seven hundred twenty-six million, six hundred seventy-seven thousand, fifty-one".