105214017258 has 64 divisors (see below), whose sum is σ = 272663520000. Its totient is φ = 30061142496.

The previous prime is 105214017197. The next prime is 105214017281. The reversal of 105214017258 is 852710412501.

It is a happy number.

105214017258 is a `hidden beast` number, since 10 + 521 + 4 + 0 + 1 + 72 + 58 = 666.

It is a super-2 number, since 2×105214017258² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2821723 + ... + 2858766.

It is an arithmetic number, because the mean of its divisors is an integer number (4260367500).

Almost surely, 2^105214017258 is an apocalyptic number.

105214017258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105214017258 is an abundant number, since it is smaller than the sum of its proper divisors (167449502742).

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

105214017258 is an equidigital number, since it uses as much as digits as its factorization.

105214017258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680521 (or 5680501 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

Adding to 105214017258 its reverse (852710412501), we get a palindrome (957924429759).

The spelling of 105214017258 in words is "one hundred five billion, two hundred fourteen million, seventeen thousand, two hundred fifty-eight".