105535701225 has 48 divisors (see below), whose sum is σ = 205277307840. Its totient is φ = 52974777600.

The previous prime is 105535701223. The next prime is 105535701247. The reversal of 105535701225 is 522107535501.

105535701225 is a `hidden beast` number, since 1 + 0 + 5 + 53 + 570 + 12 + 25 = 666.

It is not a de Polignac number, because 105535701225 - 2¹ = 105535701223 is a prime.

It is a super-2 number, since 2×105535701225² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105535701225.

It is not an unprimeable number, because it can be changed into a prime (105535701223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4587031 + ... + 4609980.

It is an arithmetic number, because the mean of its divisors is an integer number (4276610580).

Almost surely, 2^105535701225 is an apocalyptic number.

105535701225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105535701225 is a deficient number, since it is larger than the sum of its proper divisors (99741606615).

105535701225 is a wasteful number, since it uses less digits than its factorization.

105535701225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9197047 (or 9197036 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 105535701225 in words is "one hundred five billion, five hundred thirty-five million, seven hundred one thousand, two hundred twenty-five".