106885350075 has 54 divisors (see below), whose sum is σ = 205607010324. Its totient is φ = 48852814080.

The previous prime is 106885350053. The next prime is 106885350137. The reversal of 106885350075 is 570053588601.

It is not a de Polignac number, because 106885350075 - 2⁸ = 106885349819 is a prime.

It is a super-2 number, since 2×106885350075² (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 53 ways as a sum of consecutive naturals, for example, 19816579 + ... + 19821971.

Almost surely, 2^106885350075 is an apocalyptic number.

106885350075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106885350075 is a deficient number, since it is larger than the sum of its proper divisors (98721660249).

106885350075 is an frugal number, since it uses more digits than its factorization.

106885350075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10813 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

Multiplying 106885350075 by its sum of digits (48), we get a square (5130496803600 = 2265060²).

The spelling of 106885350075 in words is "one hundred six billion, eight hundred eighty-five million, three hundred fifty thousand, seventy-five".