100045960 has 64 divisors (see below), whose sum is σ = 259833600. Its totient is φ = 33958656.

The previous prime is 100045951. The next prime is 100045973. The reversal of 100045960 is 69540001.

It is a super-2 number, since 2×100045960² = 20018388224643200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27106 + ... + 30574.

It is an arithmetic number, because the mean of its divisors is an integer number (4059900).

Almost surely, 2^100045960 is an apocalyptic number.

100045960 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 100045960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129916800).

100045960 is an abundant number, since it is smaller than the sum of its proper divisors (159787640).

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

100045960 is a wasteful number, since it uses less digits than its factorization.

100045960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 100045960 is about 10002.2977360205. The cubic root of 100045960 is about 464.2299816111.

Adding to 100045960 its reverse (69540001), we get a palindrome (169585961).

The spelling of 100045960 in words is "one hundred million, forty-five thousand, nine hundred sixty".