10164121 has 12 divisors (see below), whose sum is σ = 11261376. Its totient is φ = 9166520.

The previous prime is 10164109. The next prime is 10164127. The reversal of 10164121 is 12146101.

It is not a de Polignac number, because 10164121 - 2²¹ = 8066969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10164095 and 10164104.

It is not an unprimeable number, because it can be changed into a prime (10164127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19956 + ... + 20458.

It is an arithmetic number, because the mean of its divisors is an integer number (938448).

Almost surely, 2^10164121 is an apocalyptic number.

10164121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10164121 is a deficient number, since it is larger than the sum of its proper divisors (1097255).

10164121 is a wasteful number, since it uses less digits than its factorization.

10164121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 681 counting only the distinct ones).

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

The square root of 10164121 is about 3188.1218609081. The cubic root of 10164121 is about 216.6157058320.

The spelling of 10164121 in words is "ten million, one hundred sixty-four thousand, one hundred twenty-one".