15105161385 has 96 divisors (see below), whose sum is σ = 29011750560. Its totient is φ = 7237361664.

The previous prime is 15105161369. The next prime is 15105161399. The reversal of 15105161385 is 58316150151.

It is a happy number.

15105161385 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 516 + 138 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 159365376 + 14945796009 = 12624^2 + 122253^2 .

It is not a de Polignac number, because 15105161385 - 2⁴ = 15105161369 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1495131 + ... + 1505199.

It is an arithmetic number, because the mean of its divisors is an integer number (302205735).

Almost surely, 2^15105161385 is an apocalyptic number.

15105161385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15105161385 is a deficient number, since it is larger than the sum of its proper divisors (13906589175).

15105161385 is a wasteful number, since it uses less digits than its factorization.

15105161385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10187 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 15105161385 in words is "fifteen billion, one hundred five million, one hundred sixty-one thousand, three hundred eighty-five".