10164096 has 128 divisors (see below), whose sum is σ = 31946400. Its totient is φ = 3170304.

The previous prime is 10164083. The next prime is 10164109. The reversal of 10164096 is 69046101.

10164096 is a `hidden beast` number, since 10 + 1 + 640 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10164083) and next prime (10164109).

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 58666 + ... + 58838.

Almost surely, 2^10164096 is an apocalyptic number.

10164096 is a gapful number since it is divisible by the number (16) 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 10164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15973200).

10164096 is an abundant number, since it is smaller than the sum of its proper divisors (21782304).

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

10164096 is a wasteful number, since it uses less digits than its factorization.

10164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

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

The square root of 10164096 is about 3188.1179401020. The cubic root of 10164096 is about 216.6155282335.

The spelling of 10164096 in words is "ten million, one hundred sixty-four thousand, ninety-six".