103034880 has 312 divisors, whose sum is σ = 393561168. Its totient is φ = 24772608.

The previous prime is 103034863. The next prime is 103034933. The reversal of 103034880 is 88430301.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×103034880² = 21232372993228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2396139 + ... + 2396181.

It is an arithmetic number, because the mean of its divisors is an integer number (1261414).

Almost surely, 2^103034880 is an apocalyptic number.

103034880 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 103034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196780584).

103034880 is an abundant number, since it is smaller than the sum of its proper divisors (290526288).

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

103034880 is a wasteful number, since it uses less digits than its factorization.

103034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 103034880 is about 10150.6098338967. The cubic root of 103034880 is about 468.8077219585.

The spelling of 103034880 in words is "one hundred three million, thirty-four thousand, eight hundred eighty".