105114735 has 24 divisors (see below), whose sum is σ = 198763344. Its totient is φ = 50964480.

The previous prime is 105114703. The next prime is 105114739. The reversal of 105114735 is 537411501.

It is not a de Polignac number, because 105114735 - 2⁵ = 105114703 is a prime.

It is a super-2 number, since 2×105114735² = 22098215028240450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105114699 and 105114708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105114739) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105682 + ... + 106671.

It is an arithmetic number, because the mean of its divisors is an integer number (8281806).

Almost surely, 2^105114735 is an apocalyptic number.

105114735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105114735 is a deficient number, since it is larger than the sum of its proper divisors (93648609).

105114735 is a wasteful number, since it uses less digits than its factorization.

105114735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212375 (or 212372 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 105114735 is about 10252.5477321493. The cubic root of 105114735 is about 471.9411718672.

The spelling of 105114735 in words is "one hundred five million, one hundred fourteen thousand, seven hundred thirty-five".