105742324 has 24 divisors (see below), whose sum is σ = 187918920. Its totient is φ = 52056576.

The previous prime is 105742313. The next prime is 105742379. The reversal of 105742324 is 423247501.

It can be written as a sum of positive squares in 4 ways, for example, as 10679824 + 95062500 = 3268^2 + 9750^2 .

It is a super-2 number, since 2×105742324² = 22362878169841952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105742292 and 105742301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112384 + ... + 113320.

It is an arithmetic number, because the mean of its divisors is an integer number (7829955).

Almost surely, 2^105742324 is an apocalyptic number.

It is an amenable number.

105742324 is a deficient number, since it is larger than the sum of its proper divisors (82176596).

105742324 is a wasteful number, since it uses less digits than its factorization.

105742324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 105742324 is about 10283.1086739371. The cubic root of 105742324 is about 472.8785525826.

Adding to 105742324 its reverse (423247501), we get a palindrome (528989825).

The spelling of 105742324 in words is "one hundred five million, seven hundred forty-two thousand, three hundred twenty-four".