10904166 has 96 divisors (see below), whose sum is σ = 30451680. Its totient is φ = 2866752.

The previous prime is 10904149. The next prime is 10904197. The reversal of 10904166 is 66140901.

It is a super-3 number, since 3×10904166³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34240 + ... + 34556.

It is an arithmetic number, because the mean of its divisors is an integer number (317205).

Almost surely, 2^10904166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10904166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15225840).

10904166 is an abundant number, since it is smaller than the sum of its proper divisors (19547514).

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

10904166 is a wasteful number, since it uses less digits than its factorization.

10904166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

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

The square root of 10904166 is about 3302.1456660783. The cubic root of 10904166 is about 221.7502670200.

The spelling of 10904166 in words is "ten million, nine hundred four thousand, one hundred sixty-six".