10386900 has 72 divisors (see below), whose sum is σ = 33400640. Its totient is φ = 2769120.

The previous prime is 10386877. The next prime is 10386911. The reversal of 10386900 is 968301.

It is a super-2 number, since 2×10386900² = 215775383220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777 + ... + 4623.

Almost surely, 2^10386900 is an apocalyptic number.

10386900 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 10386900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16700320).

10386900 is an abundant number, since it is smaller than the sum of its proper divisors (23013740).

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

10386900 is a wasteful number, since it uses less digits than its factorization.

10386900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10386900 is about 3222.8713905460. The cubic root of 10386900 is about 218.1868890867.

The spelling of 10386900 in words is "ten million, three hundred eighty-six thousand, nine hundred".