100523565120 has 448 divisors, whose sum is σ = 356537873664. Its totient is φ = 23789076480.

The previous prime is 100523565091. The next prime is 100523565127. The reversal of 100523565120 is 21565325001.

It is a happy number.

It is a super-2 number, since 2×100523565120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (100523565127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163985934 + ... + 163986546.

It is an arithmetic number, because the mean of its divisors is an integer number (795843468).

Almost surely, 2^100523565120 is an apocalyptic number.

100523565120 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 100523565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178268936832).

100523565120 is an abundant number, since it is smaller than the sum of its proper divisors (256014308544).

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

100523565120 is a wasteful number, since it uses less digits than its factorization.

100523565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 100523565120 in words is "one hundred billion, five hundred twenty-three million, five hundred sixty-five thousand, one hundred twenty".