106065971415 has 12 divisors (see below), whose sum is σ = 183847683864. Its totient is φ = 56568518064.

The previous prime is 106065971387. The next prime is 106065971423. The reversal of 106065971415 is 514179560601.

106065971415 is a `hidden beast` number, since 10 + 6 + 0 + 6 + 597 + 1 + 41 + 5 = 666.

It is not a de Polignac number, because 106065971415 - 2⁸ = 106065971159 is a prime.

It is a super-2 number, since 2×106065971415² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2357021587 = 106065971415 / (1 + 0 + 6 + 0 + 6 + 5 + 9 + 7 + 1 + 4 + 1 + 5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1178510749 + ... + 1178510838.

It is an arithmetic number, because the mean of its divisors is an integer number (15320640322).

Almost surely, 2^106065971415 is an apocalyptic number.

106065971415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106065971415 is a deficient number, since it is larger than the sum of its proper divisors (77781712449).

106065971415 is a wasteful number, since it uses less digits than its factorization.

106065971415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357021598 (or 2357021595 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 106065971415 in words is "one hundred six billion, sixty-five million, nine hundred seventy-one thousand, four hundred fifteen".