10352707092 has 192 divisors, whose sum is σ = 33116160000. Its totient is φ = 2723621760.

The previous prime is 10352707087. The next prime is 10352707103. The reversal of 10352707092 is 29070725301.

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 63 ways as a sum of consecutive naturals, for example, 4903117 + ... + 4905227.

It is an arithmetic number, because the mean of its divisors is an integer number (172480000).

Almost surely, 2^10352707092 is an apocalyptic number.

10352707092 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 10352707092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558080000).

10352707092 is an abundant number, since it is smaller than the sum of its proper divisors (22763452908).

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

10352707092 is a wasteful number, since it uses less digits than its factorization.

10352707092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 10352707092 in words is "ten billion, three hundred fifty-two million, seven hundred seven thousand, ninety-two".