100253520 has 60 divisors (see below), whose sum is σ = 336687156. Its totient is φ = 26734080.

The previous prime is 100253453. The next prime is 100253533. The reversal of 100253520 is 25352001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70963776 + 29289744 = 8424^2 + 5412^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 100253493 and 100253502.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 68901 + ... + 70340.

Almost surely, 2^100253520 is an apocalyptic number.

100253520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100253520 is an abundant number, since it is smaller than the sum of its proper divisors (236433636).

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

100253520 is a wasteful number, since it uses less digits than its factorization.

100253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139260 (or 139251 counting only the distinct ones).

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

The square root of 100253520 is about 10012.6679761191. The cubic root of 100253520 is about 464.5507975544.

The spelling of 100253520 in words is "one hundred million, two hundred fifty-three thousand, five hundred twenty".