100451120 has 160 divisors (see below), whose sum is σ = 304266240. Its totient is φ = 29905920.

The previous prime is 100451093. The next prime is 100451123. The reversal of 100451120 is 21154001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100451095 and 100451104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100451123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141326 + ... + 142034.

It is an arithmetic number, because the mean of its divisors is an integer number (1901664).

Almost surely, 2^100451120 is an apocalyptic number.

100451120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152133120).

100451120 is an abundant number, since it is smaller than the sum of its proper divisors (203815120).

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

100451120 is a wasteful number, since it uses less digits than its factorization.

100451120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 100451120 is about 10022.5306185614. The cubic root of 100451120 is about 464.8558076062.

The spelling of 100451120 in words is "one hundred million, four hundred fifty-one thousand, one hundred twenty".