100450920 has 64 divisors (see below), whose sum is σ = 305507520. Its totient is φ = 26417664.

The previous prime is 100450919. The next prime is 100450927. The reversal of 100450920 is 29054001.

It is not an unprimeable number, because it can be changed into a prime (100450927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3027 + ... + 14493.

It is an arithmetic number, because the mean of its divisors is an integer number (4773555).

Almost surely, 2^100450920 is an apocalyptic number.

100450920 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 100450920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152753760).

100450920 is an abundant number, since it is smaller than the sum of its proper divisors (205056600).

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

100450920 is a wasteful number, since it uses less digits than its factorization.

100450920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11554 (or 11550 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 100450920 is about 10022.5206410364. The cubic root of 100450920 is about 464.8554990939.

The spelling of 100450920 in words is "one hundred million, four hundred fifty thousand, nine hundred twenty".