103880880 has 400 divisors, whose sum is σ = 408348864. Its totient is φ = 24330240.

The previous prime is 103880879. The next prime is 103880893. The reversal of 103880880 is 88088301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2533660 + ... + 2533700.

Almost surely, 2^103880880 is an apocalyptic number.

103880880 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 103880880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204174432).

103880880 is an abundant number, since it is smaller than the sum of its proper divisors (304467984).

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

103880880 is a wasteful number, since it uses less digits than its factorization.

103880880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 103880880 is about 10192.1970153643. The cubic root of 103880880 is about 470.0873234458.

It can be divided in two parts, 1038 and 80880, that added together give a palindrome (81918).

The spelling of 103880880 in words is "one hundred three million, eight hundred eighty thousand, eight hundred eighty".