103513900 has 144 divisors (see below), whose sum is σ = 278037760. Its totient is φ = 32659200.

The previous prime is 103513859. The next prime is 103513903. The reversal of 103513900 is 9315301.

It is not an unprimeable number, because it can be changed into a prime (103513903) 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, 571810 + ... + 571990.

Almost surely, 2^103513900 is an apocalyptic number.

103513900 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 103513900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139018880).

103513900 is an abundant number, since it is smaller than the sum of its proper divisors (174523860).

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

103513900 is a wasteful number, since it uses less digits than its factorization.

103513900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 22.

The square root of 103513900 is about 10174.1780994830. The cubic root of 103513900 is about 469.5331111251.

The spelling of 103513900 in words is "one hundred three million, five hundred thirteen thousand, nine hundred".