100520938752 has 144 divisors (see below), whose sum is σ = 288327032448. Its totient is φ = 30906408960.

The previous prime is 100520938751. The next prime is 100520938759. The reversal of 100520938752 is 257839025001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100520938751) 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 15 ways as a sum of consecutive naturals, for example, 17379253 + ... + 17385035.

Almost surely, 2^100520938752 is an apocalyptic number.

100520938752 is a gapful number since it is divisible by the number (12) 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 100520938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144163516224).

100520938752 is an abundant number, since it is smaller than the sum of its proper divisors (187806093696).

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

100520938752 is a wasteful number, since it uses less digits than its factorization.

100520938752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556 (or 7542 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 100520938752 in words is "one hundred billion, five hundred twenty million, nine hundred thirty-eight thousand, seven hundred fifty-two".