100646460 has 144 divisors (see below), whose sum is σ = 333994752. Its totient is φ = 24422400.

The previous prime is 100646449. The next prime is 100646467. The reversal of 100646460 is 64646001.

100646460 is a `hidden beast` number, since 10 + 0 + 6 + 4 + 646 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100646467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94330 + ... + 95390.

It is an arithmetic number, because the mean of its divisors is an integer number (2319408).

Almost surely, 2^100646460 is an apocalyptic number.

100646460 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 100646460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166997376).

100646460 is an abundant number, since it is smaller than the sum of its proper divisors (233348292).

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

100646460 is a wasteful number, since it uses less digits than its factorization.

100646460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 100646460 is about 10032.2709293559. The cubic root of 100646460 is about 465.1569362758.

The spelling of 100646460 in words is "one hundred million, six hundred forty-six thousand, four hundred sixty".