105525034552212 has 72 divisors (see below), whose sum is σ = 279374551739136. Its totient is φ = 30945757920000.

The previous prime is 105525034552177. The next prime is 105525034552219. The reversal of 105525034552212 is 212255430525501.

It is a super-2 number, since 2×105525034552212² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105525034552219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172142789 + ... + 1172232812.

It is an arithmetic number, because the mean of its divisors is an integer number (3880202107488).

Almost surely, 2^{105525034552212} is an apocalyptic number.

105525034552212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105525034552212 is an abundant number, since it is smaller than the sum of its proper divisors (173849517186924).

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

105525034552212 is a wasteful number, since it uses less digits than its factorization.

105525034552212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344375661 (or 2344375648 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 105525034552212 in words is "one hundred five trillion, five hundred twenty-five billion, thirty-four million, five hundred fifty-two thousand, two hundred twelve".