105200023212 has 24 divisors (see below), whose sum is σ = 272740801200. Its totient is φ = 35066674368.

The previous prime is 105200023211. The next prime is 105200023259. The reversal of 105200023212 is 212320002501.

It is a super-2 number, since 2×105200023212² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (105200023211) 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, 487037037 + ... + 487037252.

It is an arithmetic number, because the mean of its divisors is an integer number (11364200050).

Almost surely, 2^105200023212 is an apocalyptic number.

105200023212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105200023212 is an abundant number, since it is smaller than the sum of its proper divisors (167540777988).

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

105200023212 is a wasteful number, since it uses less digits than its factorization.

105200023212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974074302 (or 974074294 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 105200023212 its reverse (212320002501), we get a palindrome (317520025713).

The spelling of 105200023212 in words is "one hundred five billion, two hundred million, twenty-three thousand, two hundred twelve".