103587120 has 640 divisors, whose sum is σ = 479969280. Its totient is φ = 19906560.

The previous prime is 103587097. The next prime is 103587139. The reversal of 103587120 is 21785301.

It is a super-3 number, since 3×103587120³ (a number of 25 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 3341505 + ... + 3341535.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 2^103587120 is an apocalyptic number.

103587120 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 103587120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239984640).

103587120 is an abundant number, since it is smaller than the sum of its proper divisors (376382160).

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

103587120 is a wasteful number, since it uses less digits than its factorization.

103587120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 103587120 is about 10177.7757884520. The cubic root of 103587120 is about 469.6437922723.

The spelling of 103587120 in words is "one hundred three million, five hundred eighty-seven thousand, one hundred twenty".