10305734292 has 432 divisors, whose sum is σ = 34508073600. Its totient is φ = 2570641920.

The previous prime is 10305734287. The next prime is 10305734323. The reversal of 10305734292 is 29243750301.

10305734292 is a `hidden beast` number, since 1 + 0 + 305 + 7 + 342 + 9 + 2 = 666.

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 143 ways as a sum of consecutive naturals, for example, 22354942 + ... + 22355402.

It is an arithmetic number, because the mean of its divisors is an integer number (79879800).

Almost surely, 2^10305734292 is an apocalyptic number.

10305734292 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 10305734292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254036800).

10305734292 is an abundant number, since it is smaller than the sum of its proper divisors (24202339308).

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

10305734292 is a wasteful number, since it uses less digits than its factorization.

10305734292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 10305734292 in words is "ten billion, three hundred five million, seven hundred thirty-four thousand, two hundred ninety-two".