10379165112 has 288 divisors, whose sum is σ = 31397948400. Its totient is φ = 3086014464.

The previous prime is 10379165107. The next prime is 10379165113. The reversal of 10379165112 is 21156197301.

It is a happy number.

10379165112 is a `hidden beast` number, since 10 + 379 + 165 + 112 = 666.

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 (10379165113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 142180308 + ... + 142180380.

Almost surely, 2^10379165112 is an apocalyptic number.

10379165112 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 10379165112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15698974200).

10379165112 is an abundant number, since it is smaller than the sum of its proper divisors (21018783288).

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

10379165112 is a wasteful number, since it uses less digits than its factorization.

10379165112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10379165112 in words is "ten billion, three hundred seventy-nine million, one hundred sixty-five thousand, one hundred twelve".