100416624 has 160 divisors (see below), whose sum is σ = 327836160. Its totient is φ = 25728000.

The previous prime is 100416601. The next prime is 100416629. The reversal of 100416624 is 426614001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100416594 and 100416603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100416629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373162 + ... + 373430.

It is an arithmetic number, because the mean of its divisors is an integer number (2048976).

Almost surely, 2^100416624 is an apocalyptic number.

100416624 is a gapful number since it is divisible by the number (14) 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 100416624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080).

100416624 is an abundant number, since it is smaller than the sum of its proper divisors (227419536).

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

100416624 is a wasteful number, since it uses less digits than its factorization.

100416624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 100416624 is about 10020.8095481353. The cubic root of 100416624 is about 464.8025893447.

The spelling of 100416624 in words is "one hundred million, four hundred sixteen thousand, six hundred twenty-four".