106102574175 has 96 divisors (see below), whose sum is σ = 194137574400. Its totient is φ = 50802071040.

The previous prime is 106102574153. The next prime is 106102574189. The reversal of 106102574175 is 571475201601.

It is not a de Polignac number, because 106102574175 - 2⁸ = 106102573919 is a prime.

It is a super-2 number, since 2×106102574175² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10014781 + ... + 10025369.

It is an arithmetic number, because the mean of its divisors is an integer number (2022266400).

Almost surely, 2^106102574175 is an apocalyptic number.

106102574175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106102574175 is a deficient number, since it is larger than the sum of its proper divisors (88035000225).

106102574175 is a wasteful number, since it uses less digits than its factorization.

106102574175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10897 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

Adding to 106102574175 its reverse (571475201601), we get a palindrome (677577775776).

The spelling of 106102574175 in words is "one hundred six billion, one hundred two million, five hundred seventy-four thousand, one hundred seventy-five".