103615920 has 120 divisors (see below), whose sum is σ = 363164256. Its totient is φ = 26425344.

The previous prime is 103615913. The next prime is 103615921. The reversal of 103615920 is 29516301.

103615920 is a `hidden beast` number, since 10 + 3 + 61 + 592 + 0 = 666.

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

It is a super-3 number, since 3×103615920³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103615921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13432 + ... + 19688.

Almost surely, 2^103615920 is an apocalyptic number.

103615920 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 103615920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181582128).

103615920 is an abundant number, since it is smaller than the sum of its proper divisors (259548336).

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

103615920 is a wasteful number, since it uses less digits than its factorization.

103615920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6290 counting only the distinct ones).

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

The square root of 103615920 is about 10179.1905375624. The cubic root of 103615920 is about 469.6873127663.

The spelling of 103615920 in words is "one hundred three million, six hundred fifteen thousand, nine hundred twenty".