10292004 has 72 divisors (see below), whose sum is σ = 28068768. Its totient is φ = 3168000.

The previous prime is 10292003. The next prime is 10292033. The reversal of 10292004 is 40029201.

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

It is not an unprimeable number, because it can be changed into a prime (10292003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40879 + ... + 41129.

It is an arithmetic number, because the mean of its divisors is an integer number (389844).

Almost surely, 2^10292004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10292004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034384).

10292004 is an abundant number, since it is smaller than the sum of its proper divisors (17776764).

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

10292004 is a wasteful number, since it uses less digits than its factorization.

10292004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10292004 is about 3208.1153345851. The cubic root of 10292004 is about 217.5203944412.

The spelling of 10292004 in words is "ten million, two hundred ninety-two thousand, four".