105201125325630 has 48 divisors (see below), whose sum is σ = 274940143124400. Its totient is φ = 27908277801984.

The previous prime is 105201125325587. The next prime is 105201125325643. The reversal of 105201125325630 is 36523521102501.

105201125325630 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 0 + 1 + 12 + 5 + 3 + 2 + 5 + 630 = 666.

It is a super-2 number, since 2×105201125325630² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3028224580 + ... + 3028259319.

It is an arithmetic number, because the mean of its divisors is an integer number (5727919648425).

Almost surely, 2^{105201125325630} is an apocalyptic number.

105201125325630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105201125325630 is an abundant number, since it is smaller than the sum of its proper divisors (169739017798770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105201125325630 is a wasteful number, since it uses less digits than its factorization.

105201125325630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056484105 (or 6056484102 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 105201125325630 in words is "one hundred five trillion, two hundred one billion, one hundred twenty-five million, three hundred twenty-five thousand, six hundred thirty".