105255765261 has 24 divisors (see below), whose sum is σ = 162063824000. Its totient is φ = 65635831872.

The previous prime is 105255765247. The next prime is 105255765311. The reversal of 105255765261 is 162567552501.

105255765261 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 55 + 76 + 526 + 1 = 666.

It is not a de Polignac number, because 105255765261 - 2¹⁴ = 105255748877 is a prime.

It is a super-2 number, since 2×105255765261² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105255765661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3882256 + ... + 3909273.

Almost surely, 2^105255765261 is an apocalyptic number.

It is an amenable number.

105255765261 is a deficient number, since it is larger than the sum of its proper divisors (56808058739).

105255765261 is a wasteful number, since it uses less digits than its factorization.

105255765261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7791633 (or 7791630 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 105255765261 in words is "one hundred five billion, two hundred fifty-five million, seven hundred sixty-five thousand, two hundred sixty-one".