103160400 has 120 divisors (see below), whose sum is σ = 377696064. Its totient is φ = 23577600.

The previous prime is 103160383. The next prime is 103160401. The reversal of 103160400 is 4061301.

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 103160400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103160401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2260 + ... + 14540.

Almost surely, 2^103160400 is an apocalyptic number.

103160400 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 103160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188848032).

103160400 is an abundant number, since it is smaller than the sum of its proper divisors (274535664).

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

103160400 is a wasteful number, since it uses less digits than its factorization.

103160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12309 (or 12298 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 103160400 is about 10156.7908317539. The cubic root of 103160400 is about 468.9980163066.

Subtracting from 103160400 its reverse (4061301), we obtain a palindrome (99099099).

The spelling of 103160400 in words is "one hundred three million, one hundred sixty thousand, four hundred".