103566400 has 126 divisors (see below), whose sum is σ = 296668698. Its totient is φ = 35481600.

The previous prime is 103566391. The next prime is 103566409. The reversal of 103566400 is 4665301.

It is an interprime number because it is at equal distance from previous prime (103566391) and next prime (103566409).

It can be written as a sum of positive squares in 3 ways, for example, as 24285184 + 79281216 = 4928^2 + 8904^2 .

It is a super-3 number, since 3×103566400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103566409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77740 + ... + 79060.

Almost surely, 2^103566400 is an apocalyptic number.

103566400 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 103566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148334349).

103566400 is an abundant number, since it is smaller than the sum of its proper divisors (193102298).

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

103566400 is a wasteful number, since it uses less digits than its factorization.

103566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 103566400 is about 10176.7578334163. The cubic root of 103566400 is about 469.6124767050.

The spelling of 103566400 in words is "one hundred three million, five hundred sixty-six thousand, four hundred".