10094400 has 126 divisors (see below), whose sum is σ = 35929062. Its totient is φ = 2688000.

The previous prime is 10094387. The next prime is 10094411. The reversal of 10094400 is 449001.

It can be written as a sum of positive squares in 3 ways, for example, as 1937664 + 8156736 = 1392^2 + 2856^2 .

It is a super-2 number, since 2×10094400² = 203793822720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14050 + ... + 14750.

Almost surely, 2^10094400 is an apocalyptic number.

10094400 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 10094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17964531).

10094400 is an abundant number, since it is smaller than the sum of its proper divisors (25834662).

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

10094400 is a wasteful number, since it uses less digits than its factorization.

10094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10094400 is about 3177.1685507697. The cubic root of 10094400 is about 216.1192756874.

The spelling of 10094400 in words is "ten million, ninety-four thousand, four hundred".