105355514334 has 32 divisors (see below), whose sum is σ = 240824217600. Its totient is φ = 30100123872.

The previous prime is 105355514323. The next prime is 105355514339. The reversal of 105355514334 is 433415553501.

It is a super-2 number, since 2×105355514334² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105355514292 and 105355514301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105355514339) 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, 1068867 + ... + 1163265.

It is an arithmetic number, because the mean of its divisors is an integer number (7525756800).

Almost surely, 2^105355514334 is an apocalyptic number.

105355514334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105355514334 is an abundant number, since it is smaller than the sum of its proper divisors (135468703266).

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

105355514334 is a wasteful number, since it uses less digits than its factorization.

105355514334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120984.

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 105355514334 in words is "one hundred five billion, three hundred fifty-five million, five hundred fourteen thousand, three hundred thirty-four".