10116900 has 90 divisors (see below), whose sum is σ = 32821250. Its totient is φ = 2695680.

The previous prime is 10116893. The next prime is 10116913. The reversal of 10116900 is 961101.

10116900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 9696996 = 648^2 + 3114^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×10116900² = 204703331220000, which contains 22 as substring.

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 29 ways as a sum of consecutive naturals, for example, 7476 + ... + 8724.

Almost surely, 2^10116900 is an apocalyptic number.

10116900 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 10116900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16410625).

10116900 is an abundant number, since it is smaller than the sum of its proper divisors (22704350).

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

10116900 is a wasteful number, since it uses less digits than its factorization.

10116900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 10116900 is about 3180.7074684730. The cubic root of 10116900 is about 216.2797301725.

The spelling of 10116900 in words is "ten million, one hundred sixteen thousand, nine hundred".