100725663 has 16 divisors (see below), whose sum is σ = 142443360. Its totient is φ = 63092736.

The previous prime is 100725637. The next prime is 100725679. The reversal of 100725663 is 366527001.

It is not a de Polignac number, because 100725663 - 2⁸ = 100725407 is a prime.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100725663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100725623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37303 + ... + 39911.

It is an arithmetic number, because the mean of its divisors is an integer number (8902710).

Almost surely, 2^100725663 is an apocalyptic number.

100725663 is a deficient number, since it is larger than the sum of its proper divisors (41717697).

100725663 is a wasteful number, since it uses less digits than its factorization.

100725663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 100725663 is about 10036.2175644014. The cubic root of 100725663 is about 465.2789215727.

The spelling of 100725663 in words is "one hundred million, seven hundred twenty-five thousand, six hundred sixty-three".