106903207167 has 32 divisors (see below), whose sum is σ = 157622588928. Its totient is φ = 64103694336.

The previous prime is 106903207163. The next prime is 106903207193. The reversal of 106903207167 is 761702309601.

It is not a de Polignac number, because 106903207167 - 2² = 106903207163 is a prime.

It is a super-2 number, since 2×106903207167² (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 (106903207163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1312948 + ... + 1391990.

It is an arithmetic number, because the mean of its divisors is an integer number (4925705904).

Almost surely, 2^106903207167 is an apocalyptic number.

106903207167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106903207167 is a deficient number, since it is larger than the sum of its proper divisors (50719381761).

106903207167 is a wasteful number, since it uses less digits than its factorization.

106903207167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80239.

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 106903207167 in words is "one hundred six billion, nine hundred three million, two hundred seven thousand, one hundred sixty-seven".