103083864 has 64 divisors (see below), whose sum is σ = 287128800. Its totient is φ = 30621696.

The previous prime is 103083859. The next prime is 103083889. The reversal of 103083864 is 468380301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3352 + ... + 14744.

Almost surely, 2^103083864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103083864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143564400).

103083864 is an abundant number, since it is smaller than the sum of its proper divisors (184044936).

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

103083864 is a wasteful number, since it uses less digits than its factorization.

103083864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11444 (or 11440 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 103083864 is about 10153.0224071456. The cubic root of 103083864 is about 468.8820024328.

The spelling of 103083864 in words is "one hundred three million, eighty-three thousand, eight hundred sixty-four".