45629100 has 162 divisors, whose sum is σ = 157581060. Its totient is φ = 11035200.

The previous prime is 45629081. The next prime is 45629119. The reversal of 45629100 is 192654.

It is an interprime number because it is at equal distance from previous prime (45629081) and next prime (45629119).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 108691 + ... + 109109.

Almost surely, 2^45629100 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 45629100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78790530).

45629100 is an abundant number, since it is smaller than the sum of its proper divisors (111951960).

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

45629100 is a wasteful number, since it uses less digits than its factorization.

45629100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 45629100 is about 6754.9315318514. The cubic root of 45629100 is about 357.3391781580.

The spelling of 45629100 in words is "forty-five million, six hundred twenty-nine thousand, one hundred".