103200516 has 72 divisors (see below), whose sum is σ = 269228960. Its totient is φ = 33312384.

The previous prime is 103200479. The next prime is 103200551. The reversal of 103200516 is 615002301.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 252120 + ... + 252528.

Almost surely, 2^103200516 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 103200516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134614480).

103200516 is an abundant number, since it is smaller than the sum of its proper divisors (166028444).

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

103200516 is a wasteful number, since it uses less digits than its factorization.

103200516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 103200516 is about 10158.7654761787. The cubic root of 103200516 is about 469.0588015374.

Adding to 103200516 its reverse (615002301), we get a palindrome (718202817).

The spelling of 103200516 in words is "one hundred three million, two hundred thousand, five hundred sixteen".