100072052020 has 24 divisors (see below), whose sum is σ = 210680674344. Its totient is φ = 39927989376.

The previous prime is 100072051999. The next prime is 100072052021. The reversal of 100072052020 is 20250270001.

It can be written as a sum of positive squares in 4 ways, for example, as 4237228836 + 95834823184 = 65094^2 + 309572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100072052021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6293827 + ... + 6309706.

It is an arithmetic number, because the mean of its divisors is an integer number (8778361431).

Almost surely, 2^100072052020 is an apocalyptic number.

100072052020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100072052020 is an abundant number, since it is smaller than the sum of its proper divisors (110608622324).

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

100072052020 is a wasteful number, since it uses less digits than its factorization.

100072052020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12603939 (or 12603937 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The spelling of 100072052020 in words is "one hundred billion, seventy-two million, fifty-two thousand, twenty".