100718640 has 280 divisors, whose sum is σ = 385453008. Its totient is φ = 24261120.

The previous prime is 100718627. The next prime is 100718669. The reversal of 100718640 is 46817001.

It is a happy number.

100718640 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 18 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 641442 + ... + 641598.

Almost surely, 2^100718640 is an apocalyptic number.

100718640 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 100718640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192726504).

100718640 is an abundant number, since it is smaller than the sum of its proper divisors (284734368).

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

100718640 is a wasteful number, since it uses less digits than its factorization.

100718640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

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

The square root of 100718640 is about 10035.8676754927. The cubic root of 100718640 is about 465.2681076129.

The spelling of 100718640 in words is "one hundred million, seven hundred eighteen thousand, six hundred forty".