20101416 has 32 divisors (see below), whose sum is σ = 51204960. Its totient is φ = 6573632.

The previous prime is 20101399. The next prime is 20101421. The reversal of 20101416 is 61410102.

It is a junction number, because it is equal to n+sod(n) for n = 20101395 and 20101404.

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 7 ways as a sum of consecutive naturals, for example, 6630 + ... + 9173.

It is an arithmetic number, because the mean of its divisors is an integer number (1600155).

Almost surely, 2^20101416 is an apocalyptic number.

It is an amenable number.

20101416 is an abundant number, since it is smaller than the sum of its proper divisors (31103544).

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

20101416 is a wasteful number, since it uses less digits than its factorization.

20101416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15865 (or 15861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 20101416 is about 4483.4602708176. The cubic root of 20101416 is about 271.8997972890.

Adding to 20101416 its reverse (61410102), we get a palindrome (81511518).

The spelling of 20101416 in words is "twenty million, one hundred one thousand, four hundred sixteen".