105414140 has 24 divisors (see below), whose sum is σ = 238398720. Its totient is φ = 38922048.

The previous prime is 105414137. The next prime is 105414143. The reversal of 105414140 is 41414501.

It is an interprime number because it is at equal distance from previous prime (105414137) and next prime (105414143).

It is a super-3 number, since 3×105414140³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105414143) 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, 202460 + ... + 202979.

It is an arithmetic number, because the mean of its divisors is an integer number (9933280).

Almost surely, 2^105414140 is an apocalyptic number.

105414140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105414140 is an abundant number, since it is smaller than the sum of its proper divisors (132984580).

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

105414140 is a wasteful number, since it uses less digits than its factorization.

105414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405461 (or 405459 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 105414140 is about 10267.1388419559. The cubic root of 105414140 is about 472.3888338087.

Adding to 105414140 its reverse (41414501), we get a palindrome (146828641).

The spelling of 105414140 in words is "one hundred five million, four hundred fourteen thousand, one hundred forty".