101996967 has 16 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 66813600.

The previous prime is 101996953. The next prime is 101997011. The reversal of 101996967 is 769699101.

It is not a de Polignac number, because 101996967 - 2²⁶ = 34888103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101992967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82242 + ... + 83472.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2^101996967 is an apocalyptic number.

101996967 is a deficient number, since it is larger than the sum of its proper divisors (36381273).

101996967 is a wasteful number, since it uses less digits than its factorization.

101996967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694.

The product of its (nonzero) digits is 183708, while the sum is 48.

The square root of 101996967 is about 10099.3547813709. The cubic root of 101996967 is about 467.2282416873.

The spelling of 101996967 in words is "one hundred one million, nine hundred ninety-six thousand, nine hundred sixty-seven".