106175363016 has 64 divisors (see below), whose sum is σ = 270817747200. Its totient is φ = 34678456128.

The previous prime is 106175362973. The next prime is 106175363033. The reversal of 106175363016 is 610363571601.

It is a happy number.

It is a super-2 number, since 2×106175363016² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 312591 + ... + 556833.

It is an arithmetic number, because the mean of its divisors is an integer number (4231527300).

Almost surely, 2^106175363016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106175363016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408873600).

106175363016 is an abundant number, since it is smaller than the sum of its proper divisors (164642384184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106175363016 is a wasteful number, since it uses less digits than its factorization.

106175363016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244618 (or 244614 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 106175363016 in words is "one hundred six billion, one hundred seventy-five million, three hundred sixty-three thousand, sixteen".