100406610 has 48 divisors (see below), whose sum is σ = 265351320. Its totient is φ = 26334720.

The previous prime is 100406597. The next prime is 100406611. The reversal of 100406610 is 16604001.

100406610 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 661 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82791801 + 17614809 = 9099^2 + 4197^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100406611) 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, 3655 + ... + 14634.

Almost surely, 2^100406610 is an apocalyptic number.

100406610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100406610 is an abundant number, since it is smaller than the sum of its proper divisors (164944710).

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

100406610 is a wasteful number, since it uses less digits than its factorization.

100406610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18363 (or 18360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100406610 is about 10020.3098754480. The cubic root of 100406610 is about 464.7871380922.

The spelling of 100406610 in words is "one hundred million, four hundred six thousand, six hundred ten".