10168000 has 112 divisors (see below), whose sum is σ = 26627328. Its totient is φ = 3840000.

The previous prime is 10167977. The next prime is 10168013. The reversal of 10168000 is 86101.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247980 + ... + 248020.

It is an arithmetic number, because the mean of its divisors is an integer number (237744).

Almost surely, 2^10168000 is an apocalyptic number.

10168000 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 10168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313664).

10168000 is an abundant number, since it is smaller than the sum of its proper divisors (16459328).

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

10168000 is an equidigital number, since it uses as much as digits as its factorization.

10168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 10168000 is about 3188.7301547795. The cubic root of 10168000 is about 216.6432584836.

The spelling of 10168000 in words is "ten million, one hundred sixty-eight thousand".