105121360014034 has 32 divisors (see below), whose sum is σ = 194081876472960. Its totient is φ = 41583970657152.

The previous prime is 105121360013959. The next prime is 105121360014037. The reversal of 105121360014034 is 430410063121501.

It is a super-2 number, since 2×105121360014034² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105121360013987 and 105121360014005.

It is not an unprimeable number, because it can be changed into a prime (105121360014037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14335564 + ... + 20389975.

It is an arithmetic number, because the mean of its divisors is an integer number (6065058639780).

Almost surely, 2^{105121360014034} is an apocalyptic number.

105121360014034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105121360014034 is a deficient number, since it is larger than the sum of its proper divisors (88960516458926).

105121360014034 is a wasteful number, since it uses less digits than its factorization.

105121360014034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34742194.

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 105121360014034 in words is "one hundred five trillion, one hundred twenty-one billion, three hundred sixty million, fourteen thousand, thirty-four".