45712100 has 108 divisors (see below), whose sum is σ = 121710960. Its totient is φ = 14817600.

The previous prime is 45712097. The next prime is 45712103. The reversal of 45712100 is 121754.

It is an interprime number because it is at equal distance from previous prime (45712097) and next prime (45712103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (45712103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92855 + ... + 93345.

Almost surely, 2^45712100 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 45712100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60855480).

45712100 is an abundant number, since it is smaller than the sum of its proper divisors (75998860).

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

45712100 is a wasteful number, since it uses less digits than its factorization.

45712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 45712100 is about 6761.0724001448. The cubic root of 45712100 is about 357.5557153128. Note that the first 3 decimals are identical.

Adding to 45712100 its reverse (121754), we get a palindrome (45833854).

It can be divided in two parts, 4 and 5712100, that multiplied together give a square (22848400 = 4780²).

The spelling of 45712100 in words is "forty-five million, seven hundred twelve thousand, one hundred".