45955100 has 36 divisors (see below), whose sum is σ = 101425800. Its totient is φ = 18068160.

The previous prime is 45955087. The next prime is 45955103. The reversal of 45955100 is 155954.

45955100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45955100² = 4223742432020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45955103) 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 11 ways as a sum of consecutive naturals, for example, 2006 + ... + 9794.

Almost surely, 2^45955100 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 45955100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50712900).

45955100 is an abundant number, since it is smaller than the sum of its proper divisors (55470700).

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

45955100 is a wasteful number, since it uses less digits than its factorization.

45955100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7862 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 45955100 is about 6779.0191030856. The cubic root of 45955100 is about 358.1881702743.

The spelling of 45955100 in words is "forty-five million, nine hundred fifty-five thousand, one hundred".