45768100 has 72 divisors (see below), whose sum is σ = 114520448. Its totient is φ = 15552000.

The previous prime is 45768089. The next prime is 45768139. The reversal of 45768100 is 186754.

It is a super-2 number, since 2×45768100² = 4189437955220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105484 + ... + 105916.

Almost surely, 2^45768100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45768100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57260224).

45768100 is an abundant number, since it is smaller than the sum of its proper divisors (68752348).

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

45768100 is a wasteful number, since it uses less digits than its factorization.

45768100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 45768100 is about 6765.2124874242. The cubic root of 45768100 is about 357.7016646283.

The spelling of 45768100 in words is "forty-five million, seven hundred sixty-eight thousand, one hundred".