105121424 has 10 divisors (see below), whose sum is σ = 203672790. Its totient is φ = 52560704.

The previous prime is 105121411. The next prime is 105121427. The reversal of 105121424 is 424121501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 85229824 + 19891600 = 9232^2 + 4460^2 .

It is a super-2 number, since 2×105121424² = 22101027567575552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105121396 and 105121405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105121427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3285029 + ... + 3285060.

It is an arithmetic number, because the mean of its divisors is an integer number (20367279).

Almost surely, 2^105121424 is an apocalyptic number.

It is an amenable number.

105121424 is a deficient number, since it is larger than the sum of its proper divisors (98551366).

105121424 is an equidigital number, since it uses as much as digits as its factorization.

105121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6570097 (or 6570091 counting only the distinct ones).

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

The square root of 105121424 is about 10252.8739385599. The cubic root of 105121424 is about 471.9511823494.

Adding to 105121424 its reverse (424121501), we get a palindrome (529242925).

The spelling of 105121424 in words is "one hundred five million, one hundred twenty-one thousand, four hundred twenty-four".