10165140 has 36 divisors (see below), whose sum is σ = 30834804. Its totient is φ = 2710656.

The previous prime is 10165087. The next prime is 10165147. The reversal of 10165140 is 4156101.

10165140 is a `hidden beast` number, since 10 + 1 + 651 + 4 + 0 = 666.

10165140 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 2 ways, for example, as 5447556 + 4717584 = 2334^2 + 2172^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28057 + ... + 28416.

Almost surely, 2^10165140 is an apocalyptic number.

10165140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10165140 is an abundant number, since it is smaller than the sum of its proper divisors (20669664).

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

10165140 is a wasteful number, since it uses less digits than its factorization.

10165140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56488 (or 56483 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10165140 is about 3188.2816688618. The cubic root of 10165140 is about 216.6229444979.

The spelling of 10165140 in words is "ten million, one hundred sixty-five thousand, one hundred forty".