106819233975 has 108 divisors (see below), whose sum is σ = 201468214584. Its totient is φ = 56105628480.

The previous prime is 106819233947. The next prime is 106819233979. The reversal of 106819233975 is 579332918601.

106819233975 is a `hidden beast` number, since 1 + 0 + 68 + 192 + 3 + 397 + 5 = 666.

It is not a de Polignac number, because 106819233975 - 2¹³ = 106819225783 is a prime.

It is a super-2 number, since 2×106819233975² (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 (106819233979) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27268717 + ... + 27272633.

Almost surely, 2^106819233975 is an apocalyptic number.

106819233975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106819233975 is a deficient number, since it is larger than the sum of its proper divisors (94648980609).

106819233975 is an frugal number, since it uses more digits than its factorization.

106819233975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 106819233975 in words is "one hundred six billion, eight hundred nineteen million, two hundred thirty-three thousand, nine hundred seventy-five".