106777423233 has 20 divisors (see below), whose sum is σ = 171776787028. Its totient is φ = 65709182880.

The previous prime is 106777423229. The next prime is 106777423267. The reversal of 106777423233 is 332324777601.

It can be written as a sum of positive squares in 2 ways, for example, as 26267333184 + 80510090049 = 162072^2 + 283743^2 .

It is not a de Polignac number, because 106777423233 - 2² = 106777423229 is a prime.

It is a super-2 number, since 2×106777423233² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106777423213) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50700478 + ... + 50702583.

Almost surely, 2^106777423233 is an apocalyptic number.

106777423233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106777423233 is a deficient number, since it is larger than the sum of its proper divisors (64999363795).

106777423233 is a wasteful number, since it uses less digits than its factorization.

106777423233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101403086 (or 101403077 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The spelling of 106777423233 in words is "one hundred six billion, seven hundred seventy-seven million, four hundred twenty-three thousand, two hundred thirty-three".