105225525141 has 32 divisors (see below), whose sum is σ = 162635527296. Its totient is φ = 59808000000.

The previous prime is 105225525131. The next prime is 105225525187. The reversal of 105225525141 is 141525522501.

It is a de Polignac number, because none of the positive numbers 2^k-105225525141 is a prime.

It is a super-2 number, since 2×105225525141² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105225525101) 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 31 ways as a sum of consecutive naturals, for example, 176110 + ... + 491391.

It is an arithmetic number, because the mean of its divisors is an integer number (5082360228).

Almost surely, 2^105225525141 is an apocalyptic number.

105225525141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105225525141 is a deficient number, since it is larger than the sum of its proper divisors (57410002155).

105225525141 is a wasteful number, since it uses less digits than its factorization.

105225525141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667813.

The product of its (nonzero) digits is 20000, while the sum is 33.

The spelling of 105225525141 in words is "one hundred five billion, two hundred twenty-five million, five hundred twenty-five thousand, one hundred forty-one".