45077100 has 144 divisors (see below), whose sum is σ = 139324416. Its totient is φ = 11232000.

The previous prime is 45077099. The next prime is 45077111. The reversal of 45077100 is 177054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344035 + ... + 344165.

Almost surely, 2^45077100 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 45077100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69662208).

45077100 is an abundant number, since it is smaller than the sum of its proper divisors (94247316).

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

45077100 is a wasteful number, since it uses less digits than its factorization.

45077100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 45077100 is about 6713.9481678071. The cubic root of 45077100 is about 355.8923526736.

The spelling of 45077100 in words is "forty-five million, seventy-seven thousand, one hundred".