105025285337 has 16 divisors (see below), whose sum is σ = 127105534080. Its totient is φ = 84715538688.

The previous prime is 105025285331. The next prime is 105025285349. The reversal of 105025285337 is 733582520501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105025285337 is a prime.

It is a super-2 number, since 2×105025285337² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105025285294 and 105025285303.

It is not an unprimeable number, because it can be changed into a prime (105025285331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964463 + ... + 1067819.

It is an arithmetic number, because the mean of its divisors is an integer number (7944095880).

Almost surely, 2^105025285337 is an apocalyptic number.

105025285337 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105025285337 is a deficient number, since it is larger than the sum of its proper divisors (22080248743).

105025285337 is a wasteful number, since it uses less digits than its factorization.

105025285337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111920.

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 105025285337 in words is "one hundred five billion, twenty-five million, two hundred eighty-five thousand, three hundred thirty-seven".