10307829312 has 210 divisors, whose sum is σ = 33587989974. Its totient is φ = 3123394560.

The previous prime is 10307829277. The next prime is 10307829319. The reversal of 10307829312 is 21392870301.

10307829312 is a `hidden beast` number, since 10 + 307 + 8 + 29 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10277093376 + 30735936 = 101376^2 + 5544^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10307829319) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 619048 + ... + 635480.

Almost surely, 2^10307829312 is an apocalyptic number.

10307829312 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 10307829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793994987).

10307829312 is an abundant number, since it is smaller than the sum of its proper divisors (23280160662).

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

10307829312 is a wasteful number, since it uses less digits than its factorization.

10307829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16479 (or 16449 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10307829312 in words is "ten billion, three hundred seven million, eight hundred twenty-nine thousand, three hundred twelve".