10605400 has 48 divisors (see below), whose sum is σ = 26560800. Its totient is φ = 3914880.

The previous prime is 10605383. The next prime is 10605431. The reversal of 10605400 is 450601.

It is a super-2 number, since 2×10605400² = 224949018320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 561 + ... + 4639.

It is an arithmetic number, because the mean of its divisors is an integer number (553350).

Almost surely, 2^10605400 is an apocalyptic number.

10605400 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 10605400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280400).

10605400 is an abundant number, since it is smaller than the sum of its proper divisors (15955400).

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

10605400 is a wasteful number, since it uses less digits than its factorization.

10605400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10605400 is about 3256.5933120364. The cubic root of 10605400 is about 219.7062194402.

The spelling of 10605400 in words is "ten million, six hundred five thousand, four hundred".