106314736107735 has 64 divisors (see below), whose sum is σ = 194833799971200. Its totient is φ = 54963639023616.

The previous prime is 106314736107677. The next prime is 106314736107793. The reversal of 106314736107735 is 537701637413601.

106314736107735 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 14 + 7 + 3 + 610 + 7 + 7 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (106314736107677) and next prime (106314736107793).

It is not a de Polignac number, because 106314736107735 - 2¹⁴ = 106314736091351 is a prime.

It is a super-2 number, since 2×106314736107735² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38218114 + ... + 40905423.

It is an arithmetic number, because the mean of its divisors is an integer number (3044278124550).

Almost surely, 2^{106314736107735} is an apocalyptic number.

106314736107735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106314736107735 is a deficient number, since it is larger than the sum of its proper divisors (88519063863465).

106314736107735 is a wasteful number, since it uses less digits than its factorization.

106314736107735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79123857 (or 79123851 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 106314736107735 in words is "one hundred six trillion, three hundred fourteen billion, seven hundred thirty-six million, one hundred seven thousand, seven hundred thirty-five".