107106271575 has 48 divisors (see below), whose sum is σ = 182140485120. Its totient is φ = 55505479680.

The previous prime is 107106271549. The next prime is 107106271579. The reversal of 107106271575 is 575172601701.

It is not a de Polignac number, because 107106271575 - 2⁸ = 107106271319 is a prime.

It is a super-2 number, since 2×107106271575² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107106271579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536386 + ... + 708464.

It is an arithmetic number, because the mean of its divisors is an integer number (3794593440).

Almost surely, 2^107106271575 is an apocalyptic number.

107106271575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107106271575 is a deficient number, since it is larger than the sum of its proper divisors (75034213545).

107106271575 is a wasteful number, since it uses less digits than its factorization.

107106271575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172328 (or 172323 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 42.

The spelling of 107106271575 in words is "one hundred seven billion, one hundred six million, two hundred seventy-one thousand, five hundred seventy-five".