100457640 has 96 divisors (see below), whose sum is σ = 328578120. Its totient is φ = 26617344.

The previous prime is 100457633. The next prime is 100457647. The reversal of 100457640 is 46754001.

100457640 is a `hidden beast` number, since 10 + 0 + 4 + 5 + 7 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (100457633) and next prime (100457647).

It can be written as a sum of positive squares in 4 ways, for example, as 97891236 + 2566404 = 9894^2 + 1602^2 .

It is not an unprimeable number, because it can be changed into a prime (100457647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61474 + ... + 63086.

Almost surely, 2^100457640 is an apocalyptic number.

100457640 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 100457640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164289060).

100457640 is an abundant number, since it is smaller than the sum of its proper divisors (228120480).

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

100457640 is a wasteful number, since it uses less digits than its factorization.

100457640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 100457640 is about 10022.8558804365. The cubic root of 100457640 is about 464.8658648834.

The spelling of 100457640 in words is "one hundred million, four hundred fifty-seven thousand, six hundred forty".