100125360 has 120 divisors (see below), whose sum is σ = 342098640. Its totient is φ = 26236416.

The previous prime is 100125353. The next prime is 100125391. The reversal of 100125360 is 63521001.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41302 + ... + 43658.

It is an arithmetic number, because the mean of its divisors is an integer number (2850822).

Almost surely, 2^100125360 is an apocalyptic number.

100125360 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 100125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171049320).

100125360 is an abundant number, since it is smaller than the sum of its proper divisors (241973280).

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

100125360 is a wasteful number, since it uses less digits than its factorization.

100125360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100125360 is about 10006.2660368391. The cubic root of 100125360 is about 464.3527588951.

Adding to 100125360 its reverse (63521001), we get a palindrome (163646361).

The spelling of 100125360 in words is "one hundred million, one hundred twenty-five thousand, three hundred sixty".