105525325100 has 72 divisors (see below), whose sum is σ = 246660931440. Its totient is φ = 38954292480.

The previous prime is 105525325091. The next prime is 105525325109. The reversal of 105525325100 is 1523525501.

It is an interprime number because it is at equal distance from previous prime (105525325091) and next prime (105525325109).

It is a super-2 number, since 2×105525325100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105525325109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9183959 + ... + 9195441.

It is an arithmetic number, because the mean of its divisors is an integer number (3425846270).

Almost surely, 2^105525325100 is an apocalyptic number.

105525325100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105525325100 is an abundant number, since it is smaller than the sum of its proper divisors (141135606340).

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

105525325100 is a wasteful number, since it uses less digits than its factorization.

105525325100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18579 (or 18572 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 29.

The spelling of 105525325100 in words is "one hundred five billion, five hundred twenty-five million, three hundred twenty-five thousand, one hundred".