105761763125 has 20 divisors (see below), whose sum is σ = 132552329052. Its totient is φ = 84358176000.

The previous prime is 105761763103. The next prime is 105761763169. The reversal of 105761763125 is 521367167501.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 90148261009 + 15613502116 = 300247^2 + 124954^2 .

It is not a de Polignac number, because 105761763125 - 2²² = 105757568821 is a prime.

It is a super-2 number, since 2×105761763125² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40442 + ... + 461691.

Almost surely, 2^105761763125 is an apocalyptic number.

It is an amenable number.

105761763125 is a deficient number, since it is larger than the sum of its proper divisors (26790565927).

105761763125 is an frugal number, since it uses more digits than its factorization.

105761763125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502490 (or 502475 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 44.

The spelling of 105761763125 in words is "one hundred five billion, seven hundred sixty-one million, seven hundred sixty-three thousand, one hundred twenty-five".