103390560 has 384 divisors, whose sum is σ = 447068160. Its totient is φ = 21731328.

The previous prime is 103390559. The next prime is 103390577. The reversal of 103390560 is 65093301.

103390560 is a `hidden beast` number, since 10 + 3 + 3 + 90 + 560 = 666.

It is a super-2 number, since 2×103390560² = 21379215794227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392989 + ... + 393251.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 2^103390560 is an apocalyptic number.

103390560 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 103390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

103390560 is an abundant number, since it is smaller than the sum of its proper divisors (343677600).

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

103390560 is a wasteful number, since it uses less digits than its factorization.

103390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 103390560 is about 10168.1148695321. The cubic root of 103390560 is about 469.3465492864.

The spelling of 103390560 in words is "one hundred three million, three hundred ninety thousand, five hundred sixty".