10405164 has 48 divisors (see below), whose sum is σ = 30272256. Its totient is φ = 2702400.

The previous prime is 10405133. The next prime is 10405193. The reversal of 10405164 is 46150401.

10405164 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10405164.

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, 4707 + ... + 6554.

It is an arithmetic number, because the mean of its divisors is an integer number (630672).

Almost surely, 2^10405164 is an apocalyptic number.

10405164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10405164 is an abundant number, since it is smaller than the sum of its proper divisors (19867092).

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

10405164 is a wasteful number, since it uses less digits than its factorization.

10405164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11286 (or 11284 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10405164 is about 3225.7036441682. The cubic root of 10405164 is about 218.3146985371.

Adding to 10405164 its reverse (46150401), we get a palindrome (56555565).

The spelling of 10405164 in words is "ten million, four hundred five thousand, one hundred sixty-four".