103164400 has 60 divisors (see below), whose sum is σ = 248899000. Its totient is φ = 41091840.

The previous prime is 103164377. The next prime is 103164409. The reversal of 103164400 is 4461301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103164409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139231 + ... + 139969.

Almost surely, 2^103164400 is an apocalyptic number.

103164400 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 103164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124449500).

103164400 is an abundant number, since it is smaller than the sum of its proper divisors (145734600).

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

103164400 is a wasteful number, since it uses less digits than its factorization.

103164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 103164400 is about 10156.9877424362. The cubic root of 103164400 is about 469.0040779602.

The spelling of 103164400 in words is "one hundred three million, one hundred sixty-four thousand, four hundred".