100966965 has 16 divisors (see below), whose sum is σ = 176233536. Its totient is φ = 48953600.

The previous prime is 100966963. The next prime is 100966979. The reversal of 100966965 is 569669001.

It is not a de Polignac number, because 100966965 - 2¹ = 100966963 is a prime.

It is a super-2 number, since 2×100966965² = 20388656042622450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100966963) 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, 305796 + ... + 306125.

It is an arithmetic number, because the mean of its divisors is an integer number (11014596).

Almost surely, 2^100966965 is an apocalyptic number.

100966965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100966965 is a deficient number, since it is larger than the sum of its proper divisors (75266571).

100966965 is a wasteful number, since it uses less digits than its factorization.

100966965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611940.

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 100966965 is about 10048.2319340270. The cubic root of 100966965 is about 465.6501715443.

The spelling of 100966965 in words is "one hundred million, nine hundred sixty-six thousand, nine hundred sixty-five".