103513200 has 120 divisors (see below), whose sum is σ = 378987648. Its totient is φ = 23658240.

The previous prime is 103513181. The next prime is 103513211. The reversal of 103513200 is 2315301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103513200.

It is a congruent number.

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, 2239 + ... + 14561.

Almost surely, 2^103513200 is an apocalyptic number.

103513200 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 103513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189493824).

103513200 is an abundant number, since it is smaller than the sum of its proper divisors (275474448).

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

103513200 is a wasteful number, since it uses less digits than its factorization.

103513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12351 (or 12340 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 103513200 is about 10174.1436986117. The cubic root of 103513200 is about 469.5320527361.

Adding to 103513200 its reverse (2315301), we get a palindrome (105828501).

The spelling of 103513200 in words is "one hundred three million, five hundred thirteen thousand, two hundred".