101114967 has 16 divisors (see below), whose sum is σ = 141840000. Its totient is φ = 63979104.

The previous prime is 101114953. The next prime is 101114977. The reversal of 101114967 is 769411101.

It is not a de Polignac number, because 101114967 - 2²⁰ = 100066391 is a prime.

It is a super-2 number, since 2×101114967² = 20448473102822178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101114927) 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, 4717 + ... + 14982.

It is an arithmetic number, because the mean of its divisors is an integer number (8865000).

Almost surely, 2^101114967 is an apocalyptic number.

101114967 is a deficient number, since it is larger than the sum of its proper divisors (40725033).

101114967 is a wasteful number, since it uses less digits than its factorization.

101114967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19790.

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 101114967 is about 10055.5938163790. The cubic root of 101114967 is about 465.8775842435.

The spelling of 101114967 in words is "one hundred one million, one hundred fourteen thousand, nine hundred sixty-seven".