105217011552012 has 24 divisors (see below), whose sum is σ = 245759198997312. Its totient is φ = 35036217368400.

The previous prime is 105217011552007. The next prime is 105217011552013. The reversal of 105217011552012 is 210255110712501.

It is a super-2 number, since 2×105217011552012² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105217011552013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4514964814 + ... + 4514988117.

It is an arithmetic number, because the mean of its divisors is an integer number (10239966624888).

Almost surely, 2^{105217011552012} is an apocalyptic number.

105217011552012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105217011552012 is an abundant number, since it is smaller than the sum of its proper divisors (140542187445300).

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

105217011552012 is a wasteful number, since it uses less digits than its factorization.

105217011552012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9029953909 (or 9029953907 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 33.

The spelling of 105217011552012 in words is "one hundred five trillion, two hundred seventeen billion, eleven million, five hundred fifty-two thousand, twelve".