100475640 has 96 divisors (see below), whose sum is σ = 338672880. Its totient is φ = 26790912.

The previous prime is 100475623. The next prime is 100475647. The reversal of 100475640 is 46574001.

100475640 is a `hidden beast` number, since 10 + 0 + 4 + 7 + 5 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100475647) 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, 4552 + ... + 14888.

Almost surely, 2^100475640 is an apocalyptic number.

100475640 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 100475640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169336440).

100475640 is an abundant number, since it is smaller than the sum of its proper divisors (238197240).

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

100475640 is a wasteful number, since it uses less digits than its factorization.

100475640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10363 (or 10347 counting only the distinct ones).

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

The square root of 100475640 is about 10023.7537878781. The cubic root of 100475640 is about 464.8936281139.

The spelling of 100475640 in words is "one hundred million, four hundred seventy-five thousand, six hundred forty".