105514220 has 48 divisors (see below), whose sum is σ = 266568960. Its totient is φ = 34271424.

The previous prime is 105514219. The next prime is 105514261. The reversal of 105514220 is 22415501.

It is a super-2 number, since 2×105514220² = 22266501244416800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105514192 and 105514201.

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 15 ways as a sum of consecutive naturals, for example, 17174 + ... + 22493.

It is an arithmetic number, because the mean of its divisors is an integer number (5553520).

Almost surely, 2^105514220 is an apocalyptic number.

105514220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105514220 is an abundant number, since it is smaller than the sum of its proper divisors (161054740).

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

105514220 is a wasteful number, since it uses less digits than its factorization.

105514220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39702 (or 39700 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105514220 is about 10272.0114875325. The cubic root of 105514220 is about 472.5382815675.

Adding to 105514220 its reverse (22415501), we get a palindrome (127929721).

The spelling of 105514220 in words is "one hundred five million, five hundred fourteen thousand, two hundred twenty".