100574855920 has 240 divisors, whose sum is σ = 306978789600. Its totient is φ = 30266664960.

The previous prime is 100574855903. The next prime is 100574855939. The reversal of 100574855920 is 29558475001.

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 47 ways as a sum of consecutive naturals, for example, 1210266 + ... + 1290694.

It is an arithmetic number, because the mean of its divisors is an integer number (1279078290).

Almost surely, 2^100574855920 is an apocalyptic number.

100574855920 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 100574855920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153489394800).

100574855920 is an abundant number, since it is smaller than the sum of its proper divisors (206403933680).

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

100574855920 is a wasteful number, since it uses less digits than its factorization.

100574855920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80496 (or 80483 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 46.

The spelling of 100574855920 in words is "one hundred billion, five hundred seventy-four million, eight hundred fifty-five thousand, nine hundred twenty".