10111515345 has 12 divisors (see below), whose sum is σ = 17526626676. Its totient is φ = 5392808160.

The previous prime is 10111515341. The next prime is 10111515353. The reversal of 10111515345 is 54351511101.

10111515345 is a `hidden beast` number, since 1 + 0 + 111 + 515 + 34 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3447568656 + 6663946689 = 58716^2 + 81633^2 .

It is not a de Polignac number, because 10111515345 - 2² = 10111515341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111515341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112350126 + ... + 112350215.

It is an arithmetic number, because the mean of its divisors is an integer number (1460552223).

Almost surely, 2^10111515345 is an apocalyptic number.

10111515345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10111515345 is a deficient number, since it is larger than the sum of its proper divisors (7415111331).

10111515345 is a wasteful number, since it uses less digits than its factorization.

10111515345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224700352 (or 224700349 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 10111515345 in words is "ten billion, one hundred eleven million, five hundred fifteen thousand, three hundred forty-five".