100412520 has 128 divisors (see below), whose sum is σ = 327075840. Its totient is φ = 24514560.

The previous prime is 100412519. The next prime is 100412551. The reversal of 100412520 is 25214001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100412520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297792 + ... + 298128.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 2^100412520 is an apocalyptic number.

100412520 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 100412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

100412520 is an abundant number, since it is smaller than the sum of its proper divisors (226663320).

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

100412520 is a wasteful number, since it uses less digits than its factorization.

100412520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 100412520 is about 10020.6047721682. The cubic root of 100412520 is about 464.7962571402.

Adding to 100412520 its reverse (25214001), we get a palindrome (125626521).

It can be divided in two parts, 10041 and 2520, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 100412520 in words is "one hundred million, four hundred twelve thousand, five hundred twenty".