10104192 has 144 divisors (see below), whose sum is σ = 34011900. Its totient is φ = 2870784.

The previous prime is 10104187. The next prime is 10104217. The reversal of 10104192 is 29140101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×10104192³ (a number of 22 digits) contains 333 as substring.

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 17 ways as a sum of consecutive naturals, for example, 56359 + ... + 56537.

Almost surely, 2^10104192 is an apocalyptic number.

10104192 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 10104192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17005950).

10104192 is an abundant number, since it is smaller than the sum of its proper divisors (23907708).

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

10104192 is a wasteful number, since it uses less digits than its factorization.

10104192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10104192 is about 3178.7091719753. The cubic root of 10104192 is about 216.1891347523.

Adding to 10104192 its reverse (29140101), we get a palindrome (39244293).

It can be divided in two parts, 10104 and 192, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 10104192 in words is "ten million, one hundred four thousand, one hundred ninety-two".