10541400 has 48 divisors (see below), whose sum is σ = 32680200. Its totient is φ = 2810880.

The previous prime is 10541389. The next prime is 10541423. The reversal of 10541400 is 414501.

It is a super-2 number, since 2×10541400² = 222242227920000, which contains 22 as substring.

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 10541400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8185 + ... + 9384.

Almost surely, 2^10541400 is an apocalyptic number.

10541400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10541400 is an abundant number, since it is smaller than the sum of its proper divisors (22138800).

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

10541400 is a wasteful number, since it uses less digits than its factorization.

10541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17588 (or 17579 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10541400 is about 3246.7522233765. The cubic root of 10541400 is about 219.2633765454.

Adding to 10541400 its reverse (414501), we get a palindrome (10955901).

The spelling of 10541400 in words is "ten million, five hundred forty-one thousand, four hundred".