45101642100 has 72 divisors (see below), whose sum is σ = 134020984608. Its totient is φ = 11702044800.

The previous prime is 45101642059. The next prime is 45101642101. The reversal of 45101642100 is 124610154.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45101642101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2020506 + ... + 2042705.

It is an arithmetic number, because the mean of its divisors is an integer number (1861402564).

Almost surely, 2^45101642100 is an apocalyptic number.

It is an amenable number.

45101642100 is an abundant number, since it is smaller than the sum of its proper divisors (88919342508).

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

45101642100 is a wasteful number, since it uses less digits than its factorization.

45101642100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063265 (or 4063258 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 45101642100 in words is "forty-five billion, one hundred one million, six hundred forty-two thousand, one hundred".