100505508903951 has 16 divisors (see below), whose sum is σ = 135036780341760. Its totient is φ = 66489004112960.

The previous prime is 100505508903941. The next prime is 100505508903959. The reversal of 100505508903951 is 159309805505001.

It is a cyclic number.

It is not a de Polignac number, because 100505508903951 - 2⁶ = 100505508903887 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100505508903894 and 100505508903903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100505508903959) 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, 2081131 + ... + 14329763.

It is an arithmetic number, because the mean of its divisors is an integer number (8439798771360).

Almost surely, 2^{100505508903951} is an apocalyptic number.

100505508903951 is a deficient number, since it is larger than the sum of its proper divisors (34531271437809).

100505508903951 is a wasteful number, since it uses less digits than its factorization.

100505508903951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12269646.

The product of its (nonzero) digits is 1215000, while the sum is 51.

The spelling of 100505508903951 in words is "one hundred trillion, five hundred five billion, five hundred eight million, nine hundred three thousand, nine hundred fifty-one".