101416 has 16 divisors (see below), whose sum is σ = 217440. Its totient is φ = 43440.

The previous prime is 101411. The next prime is 101419. The reversal of 101416 is 614101.

It is an Ulam number.

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

It is a junction number, because it is equal to n+sod(n) for n = 101396 and 101405.

It is not an unprimeable number, because it can be changed into a prime (101411) by changing a digit.

101416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 850 + ... + 961.

It is an arithmetic number, because the mean of its divisors is an integer number (13590).

2¹⁰¹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

101416 is an abundant number, since it is smaller than the sum of its proper divisors (116024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101416 is a wasteful number, since it uses less digits than its factorization.

101416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101416 is about 318.4587885426. The cubic root of 101416 is about 46.6339453160.

Adding to 101416 its reverse (614101), we get a palindrome (715517).

The spelling of 101416 in words is "one hundred one thousand, four hundred sixteen".