101967768 has 128 divisors (see below), whose sum is σ = 342835200. Its totient is φ = 27412992.

The previous prime is 101967743. The next prime is 101967781. The reversal of 101967768 is 867769101.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23721 + ... + 27687.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2^101967768 is an apocalyptic number.

101967768 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 101967768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

101967768 is an abundant number, since it is smaller than the sum of its proper divisors (240867432).

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

101967768 is a wasteful number, since it uses less digits than its factorization.

101967768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 101967768 is about 10097.9090904999. The cubic root of 101967768 is about 467.1836524547.

The spelling of 101967768 in words is "one hundred one million, nine hundred sixty-seven thousand, seven hundred sixty-eight".