101416107 has 16 divisors (see below), whose sum is σ = 146965280. Its totient is φ = 61834752.

The previous prime is 101416057. The next prime is 101416121. The reversal of 101416107 is 701614101.

It is not a de Polignac number, because 101416107 - 2¹¹ = 101414059 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101416127) 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, 7678 + ... + 16179.

It is an arithmetic number, because the mean of its divisors is an integer number (9185330).

Almost surely, 2^101416107 is an apocalyptic number.

101416107 is a deficient number, since it is larger than the sum of its proper divisors (45549173).

101416107 is a wasteful number, since it uses less digits than its factorization.

101416107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23982.

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 101416107 is about 10070.5564394427. The cubic root of 101416107 is about 466.3396171658.

The spelling of 101416107 in words is "one hundred one million, four hundred sixteen thousand, one hundred seven".