100415560 has 64 divisors (see below), whose sum is σ = 264539520. Its totient is φ = 33584640.

The previous prime is 100415537. The next prime is 100415573. The reversal of 100415560 is 65514001.

It is a super-2 number, since 2×100415560² = 20166569380227200, 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, 7107 + ... + 15853.

It is an arithmetic number, because the mean of its divisors is an integer number (4133430).

Almost surely, 2^100415560 is an apocalyptic number.

100415560 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 100415560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132269760).

100415560 is an abundant number, since it is smaller than the sum of its proper divisors (164123960).

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

100415560 is a wasteful number, since it uses less digits than its factorization.

100415560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8806 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 100415560 is about 10020.7564584716. The cubic root of 100415560 is about 464.8009476786.

Adding to 100415560 its reverse (65514001), we get a palindrome (165929561).

The spelling of 100415560 in words is "one hundred million, four hundred fifteen thousand, five hundred sixty".