105111140 has 24 divisors (see below), whose sum is σ = 223013112. Its totient is φ = 41610240.

The previous prime is 105111133. The next prime is 105111157. The reversal of 105111140 is 41111501.

It can be written as a sum of positive squares in 4 ways, for example, as 417316 + 104693824 = 646^2 + 10232^2 .

It is a super-2 number, since 2×105111140² = 22096703504199200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25151 + ... + 29030.

It is an arithmetic number, because the mean of its divisors is an integer number (9292213).

Almost surely, 2^105111140 is an apocalyptic number.

105111140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105111140 is an abundant number, since it is smaller than the sum of its proper divisors (117901972).

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

105111140 is a wasteful number, since it uses less digits than its factorization.

105111140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54287 (or 54285 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

The square root of 105111140 is about 10252.3724083746. The cubic root of 105111140 is about 471.9357915627.

Adding to 105111140 its reverse (41111501), we get a palindrome (146222641).

The spelling of 105111140 in words is "one hundred five million, one hundred eleven thousand, one hundred forty".