10801400 has 48 divisors (see below), whose sum is σ = 25612200. Its totient is φ = 4234880.

The previous prime is 10801381. The next prime is 10801403. The reversal of 10801400 is 410801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10801403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10091 + ... + 11109.

Almost surely, 2^10801400 is an apocalyptic number.

10801400 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 10801400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806100).

10801400 is an abundant number, since it is smaller than the sum of its proper divisors (14810800).

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

10801400 is a wasteful number, since it uses less digits than its factorization.

10801400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 10801400 is about 3286.5483413454. The cubic root of 10801400 is about 221.0514406985.

The spelling of 10801400 in words is "ten million, eight hundred one thousand, four hundred".