100786968 has 24 divisors (see below), whose sum is σ = 272964900. Its totient is φ = 33595632.

The previous prime is 100786967. The next prime is 100786981. The reversal of 100786968 is 869687001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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 zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100786967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 699838 + ... + 699981.

Almost surely, 2^100786968 is an apocalyptic number.

100786968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100786968 is an abundant number, since it is smaller than the sum of its proper divisors (172177932).

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

100786968 is a wasteful number, since it uses less digits than its factorization.

100786968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399831 (or 1399824 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 100786968 is about 10039.2712882958. The cubic root of 100786968 is about 465.3732971883.

The spelling of 100786968 in words is "one hundred million, seven hundred eighty-six thousand, nine hundred sixty-eight".