100626434496 has 504 divisors, whose sum is σ = 353854365696. Its totient is φ = 27219870720.

The previous prime is 100626434443. The next prime is 100626434501. The reversal of 100626434496 is 694434626001.

100626434496 is a `hidden beast` number, since 10 + 0 + 62 + 64 + 34 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 41121145 + ... + 41123591.

Almost surely, 2^100626434496 is an apocalyptic number.

100626434496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100626434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176927182848).

100626434496 is an abundant number, since it is smaller than the sum of its proper divisors (253227931200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100626434496 is a wasteful number, since it uses less digits than its factorization.

100626434496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 100626434496 in words is "one hundred billion, six hundred twenty-six million, four hundred thirty-four thousand, four hundred ninety-six".