10005192 has 48 divisors (see below), whose sum is σ = 27456000. Its totient is φ = 3290976.

The previous prime is 10005179. The next prime is 10005209. The reversal of 10005192 is 29150001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4809 + ... + 6567.

It is an arithmetic number, because the mean of its divisors is an integer number (572000).

Almost surely, 2^10005192 is an apocalyptic number.

10005192 is a gapful number since it is divisible by the number (12) 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 10005192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728000).

10005192 is an abundant number, since it is smaller than the sum of its proper divisors (17450808).

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

10005192 is a wasteful number, since it uses less digits than its factorization.

10005192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10005192 is about 3163.0984809203. The cubic root of 10005192 is about 215.4807486351.

Adding to 10005192 its reverse (29150001), we get a palindrome (39155193).

The spelling of 10005192 in words is "ten million, five thousand, one hundred ninety-two".