451142100 has 108 divisors (see below), whose sum is σ = 1425575424. Its totient is φ = 119327040.

The previous prime is 451142059. The next prime is 451142149. The reversal of 451142100 is 1241154.

451142100 is a `hidden beast` number, since 451 + 1 + 4 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112327 + ... + 116273.

Almost surely, 2^451142100 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 451142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712787712).

451142100 is an abundant number, since it is smaller than the sum of its proper divisors (974433324).

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

451142100 is a wasteful number, since it uses less digits than its factorization.

451142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 451142100 is about 21240.1059319392. The cubic root of 451142100 is about 766.9571824855.

Adding to 451142100 its reverse (1241154), we get a palindrome (452383254).

The spelling of 451142100 in words is "four hundred fifty-one million, one hundred forty-two thousand, one hundred".