45101556 has 48 divisors (see below), whose sum is σ = 117633600. Its totient is φ = 14943456.

The previous prime is 45101533. The next prime is 45101587. The reversal of 45101556 is 65510154.

It is a happy number.

45101556 is a `hidden beast` number, since 4 + 5 + 101 + 556 = 666.

It is a super-2 number, since 2×45101556² = 4068300707242272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18166 + ... + 20498.

It is an arithmetic number, because the mean of its divisors is an integer number (2450700).

Almost surely, 2^45101556 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 45101556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58816800).

45101556 is an abundant number, since it is smaller than the sum of its proper divisors (72532044).

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

45101556 is a wasteful number, since it uses less digits than its factorization.

45101556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 45101556 is about 6715.7692038962. The cubic root of 45101556 is about 355.9567026416.

The spelling of 45101556 in words is "forty-five million, one hundred one thousand, five hundred fifty-six".