10214088192 has 360 divisors, whose sum is σ = 37045056048. Its totient is φ = 2651996160.

The previous prime is 10214088167. The next prime is 10214088233. The reversal of 10214088192 is 29188041201.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3901668 + ... + 3904284.

Almost surely, 2^10214088192 is an apocalyptic number.

10214088192 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 10214088192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18522528024).

10214088192 is an abundant number, since it is smaller than the sum of its proper divisors (26830967856).

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

10214088192 is a wasteful number, since it uses less digits than its factorization.

10214088192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10214088192 in words is "ten billion, two hundred fourteen million, eighty-eight thousand, one hundred ninety-two".