105201116 has 24 divisors (see below), whose sum is σ = 186713856. Its totient is φ = 51859440.

The previous prime is 105201113. The next prime is 105201133. The reversal of 105201116 is 611102501.

It is a super-2 number, since 2×105201116² = 22134549615290912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105201094 and 105201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105201113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115535 + ... + 116441.

It is an arithmetic number, because the mean of its divisors is an integer number (7779744).

Almost surely, 2^105201116 is an apocalyptic number.

It is an amenable number.

105201116 is a deficient number, since it is larger than the sum of its proper divisors (81512740).

105201116 is a wasteful number, since it uses less digits than its factorization.

105201116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 105201116 is about 10256.7595272581. The cubic root of 105201116 is about 472.0704134633.

Adding to 105201116 its reverse (611102501), we get a palindrome (716303617).

The spelling of 105201116 in words is "one hundred five million, two hundred one thousand, one hundred sixteen".