100520000100 has 432 divisors, whose sum is σ = 353289627600. Its totient is φ = 23876536320.

The previous prime is 100520000047. The next prime is 100520000123. The reversal of 100520000100 is 1000025001.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 65527808256 + 34992191844 = 255984^2 + 187062^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57340824 + ... + 57342576.

Almost surely, 2^100520000100 is an apocalyptic number.

100520000100 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 100520000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176644813800).

100520000100 is an abundant number, since it is smaller than the sum of its proper divisors (252769627500).

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

100520000100 is a wasteful number, since it uses less digits than its factorization.

100520000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

Adding to 100520000100 its reverse (1000025001), we get a palindrome (101520025101).

The spelling of 100520000100 in words is "one hundred billion, five hundred twenty million, one hundred", and thus it is an aban number.