105221124 has 18 divisors (see below), whose sum is σ = 265975710. Its totient is φ = 35073696.

The previous prime is 105221117. The next prime is 105221141. The reversal of 105221124 is 421122501.

It can be written as a sum of positive squares in only one way, i.e., 89870400 + 15350724 = 9480^2 + 3918^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105221124² = 22142969871646752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105221097 and 105221106.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1461369 + ... + 1461440.

Almost surely, 2^105221124 is an apocalyptic number.

It is an amenable number.

105221124 is an abundant number, since it is smaller than the sum of its proper divisors (160754586).

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

105221124 is a wasteful number, since it uses less digits than its factorization.

105221124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922819 (or 2922814 counting only the distinct ones).

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

The square root of 105221124 is about 10257.7348376725. The cubic root of 105221124 is about 472.1003389574.

Adding to 105221124 its reverse (421122501), we get a palindrome (526343625).

The spelling of 105221124 in words is "one hundred five million, two hundred twenty-one thousand, one hundred twenty-four".