66100125 has 96 divisors (see below), whose sum is σ = 137030400. Its totient is φ = 27705600.

The previous prime is 66100117. The next prime is 66100187. The reversal of 66100125 is 52100166.

It is a happy number.

It is not a de Polignac number, because 66100125 - 2³ = 66100117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 443551 + ... + 443699.

It is an arithmetic number, because the mean of its divisors is an integer number (1427400).

Almost surely, 2^66100125 is an apocalyptic number.

66100125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66100125 is an abundant number, since it is smaller than the sum of its proper divisors (70930275).

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

66100125 is a wasteful number, since it uses less digits than its factorization.

66100125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 66100125 is about 8130.1983370641. The cubic root of 66100125 is about 404.3282569692.

The spelling of 66100125 in words is "sixty-six million, one hundred thousand, one hundred twenty-five".