100426687920 has 320 divisors, whose sum is σ = 372944880000. Its totient is φ = 24692428800.

The previous prime is 100426687919. The next prime is 100426687979. The reversal of 100426687920 is 29786624001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 36530706 + ... + 36533454.

It is an arithmetic number, because the mean of its divisors is an integer number (1165452750).

Almost surely, 2^100426687920 is an apocalyptic number.

100426687920 is a gapful number since it is divisible by the number (10) 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 100426687920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186472440000).

100426687920 is an abundant number, since it is smaller than the sum of its proper divisors (272518192080).

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

100426687920 is a wasteful number, since it uses less digits than its factorization.

100426687920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 100426687920 in words is "one hundred billion, four hundred twenty-six million, six hundred eighty-seven thousand, nine hundred twenty".