105090365825 has 12 divisors (see below), whose sum is σ = 137977469100. Its totient is φ = 79126863360.

The previous prime is 105090365813. The next prime is 105090365833. The reversal of 105090365825 is 528563090501.

It can be written as a sum of positive squares in 6 ways, for example, as 2788262416 + 102302103409 = 52804^2 + 319847^2 .

It is not a de Polignac number, because 105090365825 - 2¹⁰ = 105090364801 is a prime.

It is a super-2 number, since 2×105090365825² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123635300 + ... + 123636149.

It is an arithmetic number, because the mean of its divisors is an integer number (11498122425).

Almost surely, 2^105090365825 is an apocalyptic number.

It is an amenable number.

105090365825 is a deficient number, since it is larger than the sum of its proper divisors (32887103275).

105090365825 is a wasteful number, since it uses less digits than its factorization.

105090365825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247271476 (or 247271471 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 44.

The spelling of 105090365825 in words is "one hundred five billion, ninety million, three hundred sixty-five thousand, eight hundred twenty-five".