105323412252114 has 48 divisors (see below), whose sum is σ = 260807521673088. Its totient is φ = 30091631423616.

The previous prime is 105323412252029. The next prime is 105323412252197. The reversal of 105323412252114 is 411252214323501.

105323412252114 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 3 + 4 + 122 + 521 + 1 + 4 = 666.

It is a super-2 number, since 2×105323412252114² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5783847 + ... + 15623690.

It is an arithmetic number, because the mean of its divisors is an integer number (5433490034856).

Almost surely, 2^{105323412252114} is an apocalyptic number.

105323412252114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105323412252114 is an abundant number, since it is smaller than the sum of its proper divisors (155484109420974).

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

105323412252114 is a wasteful number, since it uses less digits than its factorization.

105323412252114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21446599 (or 21446596 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 105323412252114 its reverse (411252214323501), we get a palindrome (516575626575615).

The spelling of 105323412252114 in words is "one hundred five trillion, three hundred twenty-three billion, four hundred twelve million, two hundred fifty-two thousand, one hundred fourteen".