100775967 has 16 divisors (see below), whose sum is σ = 135924480. Its totient is φ = 66410432.

The previous prime is 100775963. The next prime is 100775971. The reversal of 100775967 is 769577001.

It is an interprime number because it is at equal distance from previous prime (100775963) and next prime (100775971).

It is a cyclic number.

It is not a de Polignac number, because 100775967 - 2² = 100775963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100775963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147208 + ... + 147890.

It is an arithmetic number, because the mean of its divisors is an integer number (8495280).

Almost surely, 2^100775967 is an apocalyptic number.

100775967 is a deficient number, since it is larger than the sum of its proper divisors (35148513).

100775967 is a wasteful number, since it uses less digits than its factorization.

100775967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182.

The product of its (nonzero) digits is 92610, while the sum is 42.

The square root of 100775967 is about 10038.7233750114. The cubic root of 100775967 is about 465.3563645828.

The spelling of 100775967 in words is "one hundred million, seven hundred seventy-five thousand, nine hundred sixty-seven".