106517237715 has 48 divisors (see below), whose sum is σ = 211846392576. Its totient is φ = 48499560000.

The previous prime is 106517237711. The next prime is 106517237753. The reversal of 106517237715 is 517732715601.

106517237715 is a `hidden beast` number, since 106 + 5 + 172 + 377 + 1 + 5 = 666.

It is not a de Polignac number, because 106517237715 - 2² = 106517237711 is a prime.

It is a super-2 number, since 2×106517237715² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106517237711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594541 + ... + 752670.

It is an arithmetic number, because the mean of its divisors is an integer number (4413466512).

Almost surely, 2^106517237715 is an apocalyptic number.

106517237715 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106517237715 is a deficient number, since it is larger than the sum of its proper divisors (105329154861).

106517237715 is a wasteful number, since it uses less digits than its factorization.

106517237715 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347480 (or 1347477 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 106517237715 in words is "one hundred six billion, five hundred seventeen million, two hundred thirty-seven thousand, seven hundred fifteen".