10670972345 has 16 divisors (see below), whose sum is σ = 13971296448. Its totient is φ = 7759583040.

The previous prime is 10670972293. The next prime is 10670972357. The reversal of 10670972345 is 54327907601.

10670972345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10670972345 - 2¹² = 10670968249 is a prime.

It is a super-5 number, since 5×10670972345⁵ (a number of 51 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10670972296 and 10670972305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662882 + ... + 678788.

It is an arithmetic number, because the mean of its divisors is an integer number (873206028).

Almost surely, 2^10670972345 is an apocalyptic number.

It is an amenable number.

10670972345 is a deficient number, since it is larger than the sum of its proper divisors (3300324103).

10670972345 is a wasteful number, since it uses less digits than its factorization.

10670972345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28120.

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 10670972345 in words is "ten billion, six hundred seventy million, nine hundred seventy-two thousand, three hundred forty-five".