105525263525 has 24 divisors (see below), whose sum is σ = 143277660000. Its totient is φ = 76460292800.

The previous prime is 105525263509. The next prime is 105525263567. The reversal of 105525263525 is 525362525501.

It is not a de Polignac number, because 105525263525 - 2⁴ = 105525263509 is a prime.

It is a super-2 number, since 2×105525263525² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639275 + ... + 787224.

It is an arithmetic number, because the mean of its divisors is an integer number (5969902500).

Almost surely, 2^105525263525 is an apocalyptic number.

It is an amenable number.

105525263525 is a deficient number, since it is larger than the sum of its proper divisors (37752396475).

105525263525 is a wasteful number, since it uses less digits than its factorization.

105525263525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426789 (or 1426784 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 41.

The spelling of 105525263525 in words is "one hundred five billion, five hundred twenty-five million, two hundred sixty-three thousand, five hundred twenty-five".