103556880 has 240 divisors, whose sum is σ = 412723584. Its totient is φ = 23639040.

The previous prime is 103556863. The next prime is 103556881. The reversal of 103556880 is 88655301.

103556880 is a `hidden beast` number, since 10 + 3 + 5 + 568 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×103556880³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103556881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135700 + ... + 136460.

Almost surely, 2^103556880 is an apocalyptic number.

103556880 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 103556880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206361792).

103556880 is an abundant number, since it is smaller than the sum of its proper divisors (309166704).

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

103556880 is an equidigital number, since it uses as much as digits as its factorization.

103556880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 103556880 is about 10176.2900902048. The cubic root of 103556880 is about 469.5980870710.

The spelling of 103556880 in words is "one hundred three million, five hundred fifty-six thousand, eight hundred eighty".