105614312013 has 48 divisors (see below), whose sum is σ = 188896346496. Its totient is φ = 55479997440.

The previous prime is 105614311973. The next prime is 105614312017. The reversal of 105614312013 is 310213416501.

It is a happy number.

105614312013 is a `hidden beast` number, since 1 + 0 + 5 + 614 + 31 + 2 + 0 + 13 = 666.

It is not a de Polignac number, because 105614312013 - 2²⁶ = 105547203149 is a prime.

It is a super-2 number, since 2×105614312013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105614312017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100608 + ... + 1192713.

It is an arithmetic number, because the mean of its divisors is an integer number (3935340552).

Almost surely, 2^105614312013 is an apocalyptic number.

It is an amenable number.

105614312013 is a deficient number, since it is larger than the sum of its proper divisors (83282034483).

105614312013 is a wasteful number, since it uses less digits than its factorization.

105614312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293394 (or 2293391 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 105614312013 its reverse (310213416501), we get a palindrome (415827728514).

The spelling of 105614312013 in words is "one hundred five billion, six hundred fourteen million, three hundred twelve thousand, thirteen".