107764167168 has 240 divisors, whose sum is σ = 374155129920. Its totient is φ = 29169082368.

The previous prime is 107764167139. The next prime is 107764167197. The reversal of 107764167168 is 861761467701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107764167139) and next prime (107764167197).

It is a super-2 number, since 2×107764167168² (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, 524946 + ... + 700782.

It is an arithmetic number, because the mean of its divisors is an integer number (1558979708).

Almost surely, 2^107764167168 is an apocalyptic number.

107764167168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107764167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187077564960).

107764167168 is an abundant number, since it is smaller than the sum of its proper divisors (266390962752).

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

107764167168 is a wasteful number, since it uses less digits than its factorization.

107764167168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175887 (or 175868 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 107764167168 in words is "one hundred seven billion, seven hundred sixty-four million, one hundred sixty-seven thousand, one hundred sixty-eight".