105214140 has 72 divisors (see below), whose sum is σ = 330985200. Its totient is φ = 28055808.

The previous prime is 105214133. The next prime is 105214141. The reversal of 105214140 is 41412501.

105214140 is a `hidden beast` number, since 1 + 0 + 521 + 4 + 140 = 666.

It is a super-2 number, since 2×105214140² = 22140030511879200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105214141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5965 + ... + 15684.

Almost surely, 2^105214140 is an apocalyptic number.

105214140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105214140 is an abundant number, since it is smaller than the sum of its proper divisors (225771060).

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

105214140 is a wasteful number, since it uses less digits than its factorization.

105214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21673 (or 21659 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105214140 is about 10257.3944059883. The cubic root of 105214140 is about 472.0898935842.

Adding to 105214140 its reverse (41412501), we get a palindrome (146626641).

The spelling of 105214140 in words is "one hundred five million, two hundred fourteen thousand, one hundred forty".