100505572020 has 216 divisors, whose sum is σ = 360851871744. Its totient is φ = 22180306176.

The previous prime is 100505571997. The next prime is 100505572051. The reversal of 100505572020 is 20275505001.

It is a happy number.

100505572020 is a `hidden beast` number, since 100 + 5 + 0 + 557 + 2 + 0 + 2 + 0 = 666.

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, 1012237 + ... + 1107083.

Almost surely, 2^100505572020 is an apocalyptic number.

100505572020 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 100505572020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180425935872).

100505572020 is an abundant number, since it is smaller than the sum of its proper divisors (260346299724).

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

100505572020 is a wasteful number, since it uses less digits than its factorization.

100505572020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94927 (or 94893 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The spelling of 100505572020 in words is "one hundred billion, five hundred five million, five hundred seventy-two thousand, twenty".