10097892 has 144 divisors (see below), whose sum is σ = 32430720. Its totient is φ = 2659392.

The previous prime is 10097891. The next prime is 10097917. The reversal of 10097892 is 29879001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272898 + ... + 272934.

Almost surely, 2^10097892 is an apocalyptic number.

10097892 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 10097892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215360).

10097892 is an abundant number, since it is smaller than the sum of its proper divisors (22332828).

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

10097892 is a wasteful number, since it uses less digits than its factorization.

10097892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10097892 is about 3177.7180491667. The cubic root of 10097892 is about 216.1441938434.

The spelling of 10097892 in words is "ten million, ninety-seven thousand, eight hundred ninety-two".