105101114613 has 64 divisors (see below), whose sum is σ = 156260941824. Its totient is φ = 62825716800.

The previous prime is 105101114611. The next prime is 105101114621. The reversal of 105101114613 is 316411101501.

It is not a de Polignac number, because 105101114613 - 2¹ = 105101114611 is a prime.

It is a super-2 number, since 2×105101114613² (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 (105101114611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173148156 + ... + 173148762.

It is an arithmetic number, because the mean of its divisors is an integer number (2441577216).

Almost surely, 2^105101114613 is an apocalyptic number.

It is an amenable number.

105101114613 is a deficient number, since it is larger than the sum of its proper divisors (51159827211).

105101114613 is a wasteful number, since it uses less digits than its factorization.

105101114613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The spelling of 105101114613 in words is "one hundred five billion, one hundred one million, one hundred fourteen thousand, six hundred thirteen".