100520110432 has 192 divisors, whose sum is σ = 250730726400. Its totient is φ = 38675957760.

The previous prime is 100520110403. The next prime is 100520110433. The reversal of 100520110432 is 234011025001.

It is a super-2 number, since 2×100520110432² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100520110433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10665082 + ... + 10674502.

It is an arithmetic number, because the mean of its divisors is an integer number (1305889200).

Almost surely, 2^100520110432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100520110432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125365363200).

100520110432 is an abundant number, since it is smaller than the sum of its proper divisors (150210615968).

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

100520110432 is a wasteful number, since it uses less digits than its factorization.

100520110432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9589 (or 9581 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 100520110432 its reverse (234011025001), we get a palindrome (334531135433).

The spelling of 100520110432 in words is "one hundred billion, five hundred twenty million, one hundred ten thousand, four hundred thirty-two".