100716408 has 48 divisors (see below), whose sum is σ = 293758920. Its totient is φ = 30989376.

The previous prime is 100716383. The next prime is 100716409. The reversal of 100716408 is 804617001.

It is a happy number.

100716408 is a `hidden beast` number, since 10 + 0 + 7 + 1 + 640 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100716409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52866 + ... + 54737.

Almost surely, 2^100716408 is an apocalyptic number.

100716408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100716408 is an abundant number, since it is smaller than the sum of its proper divisors (193042512).

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

100716408 is a wasteful number, since it uses less digits than its factorization.

100716408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107628 (or 107621 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 100716408 is about 10035.7564737293. The cubic root of 100716408 is about 465.2646706917.

It can be divided in two parts, 100716 and 408, that added together give a square (101124 = 318²).

The spelling of 100716408 in words is "one hundred million, seven hundred sixteen thousand, four hundred eight".