103125960 has 160 divisors (see below), whose sum is σ = 396221760. Its totient is φ = 23566464.

The previous prime is 103125941. The next prime is 103126013. The reversal of 103125960 is 69521301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20407 + ... + 24953.

It is an arithmetic number, because the mean of its divisors is an integer number (2476386).

Almost surely, 2^103125960 is an apocalyptic number.

103125960 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 103125960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198110880).

103125960 is an abundant number, since it is smaller than the sum of its proper divisors (293095800).

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

103125960 is a wasteful number, since it uses less digits than its factorization.

103125960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 103125960 is about 10155.0952728175. The cubic root of 103125960 is about 468.9458189858.

The spelling of 103125960 in words is "one hundred three million, one hundred twenty-five thousand, nine hundred sixty".