106575859104 has 144 divisors (see below), whose sum is σ = 331161407136. Its totient is φ = 29811386880.

The previous prime is 106575859097. The next prime is 106575859139. The reversal of 106575859104 is 401958575601.

It is a super-2 number, since 2×106575859104² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201874 + ... + 503889.

It is an arithmetic number, because the mean of its divisors is an integer number (2299731994).

Almost surely, 2^106575859104 is an apocalyptic number.

It is an amenable number.

106575859104 is an abundant number, since it is smaller than the sum of its proper divisors (224585548032).

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

106575859104 is a wasteful number, since it uses less digits than its factorization.

106575859104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705811 (or 705792 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 106575859104 in words is "one hundred six billion, five hundred seventy-five million, eight hundred fifty-nine thousand, one hundred four".