105010125575 has 24 divisors (see below), whose sum is σ = 133501101216. Its totient is φ = 81889920000.

The previous prime is 105010125557. The next prime is 105010125593. The reversal of 105010125575 is 575521010501.

It is an interprime number because it is at equal distance from previous prime (105010125557) and next prime (105010125593).

It is not a de Polignac number, because 105010125575 - 2¹⁰ = 105010124551 is a prime.

It is a super-2 number, since 2×105010125575² (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 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, 1188374 + ... + 1273676.

It is an arithmetic number, because the mean of its divisors is an integer number (5562545884).

Almost surely, 2^105010125575 is an apocalyptic number.

105010125575 is a deficient number, since it is larger than the sum of its proper divisors (28490975641).

105010125575 is a wasteful number, since it uses less digits than its factorization.

105010125575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86555 (or 86550 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 32.

The spelling of 105010125575 in words is "one hundred five billion, ten million, one hundred twenty-five thousand, five hundred seventy-five".