100999965 has 32 divisors (see below), whose sum is σ = 177883776. Its totient is φ = 48527360.

The previous prime is 100999949. The next prime is 100999979. The reversal of 100999965 is 569999001.

It is a happy number.

It is not a de Polignac number, because 100999965 - 2⁴ = 100999949 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15937 + ... + 21353.

It is an arithmetic number, because the mean of its divisors is an integer number (5558868).

Almost surely, 2^100999965 is an apocalyptic number.

100999965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100999965 is a deficient number, since it is larger than the sum of its proper divisors (76883811).

100999965 is a wasteful number, since it uses less digits than its factorization.

100999965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549.

The product of its (nonzero) digits is 196830, while the sum is 48.

The square root of 100999965 is about 10049.8738798057. The cubic root of 100999965 is about 465.7008969865.

The spelling of 100999965 in words is "one hundred million, nine hundred ninety-nine thousand, nine hundred sixty-five".