105726703365 has 96 divisors (see below), whose sum is σ = 207052260480. Its totient is φ = 49588236288.

The previous prime is 105726703333. The next prime is 105726703387. The reversal of 105726703365 is 563307627501.

105726703365 is a `hidden beast` number, since 1 + 0 + 57 + 267 + 0 + 336 + 5 = 666.

It is not a de Polignac number, because 105726703365 - 2⁵ = 105726703333 is a prime.

It is a super-2 number, since 2×105726703365² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105726703365.

It is a congruent number.

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, 1011234 + ... + 1110876.

It is an arithmetic number, because the mean of its divisors is an integer number (2156794380).

Almost surely, 2^105726703365 is an apocalyptic number.

105726703365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105726703365 is a deficient number, since it is larger than the sum of its proper divisors (101325557115).

105726703365 is a wasteful number, since it uses less digits than its factorization.

105726703365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99763 (or 99760 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 105726703365 in words is "one hundred five billion, seven hundred twenty-six million, seven hundred three thousand, three hundred sixty-five".