100352520 has 160 divisors (see below), whose sum is σ = 344995200. Its totient is φ = 26151552.

The previous prime is 100352491. The next prime is 100352531. The reversal of 100352520 is 25253001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100352493 and 100352502.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151951 + ... + 152609.

It is an arithmetic number, because the mean of its divisors is an integer number (2156220).

Almost surely, 2^100352520 is an apocalyptic number.

100352520 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 100352520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172497600).

100352520 is an abundant number, since it is smaller than the sum of its proper divisors (244642680).

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

100352520 is a wasteful number, since it uses less digits than its factorization.

100352520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 100352520 is about 10017.6104935259. The cubic root of 100352520 is about 464.7036613433.

The spelling of 100352520 in words is "one hundred million, three hundred fifty-two thousand, five hundred twenty".