105335124 has 48 divisors (see below), whose sum is σ = 259768320. Its totient is φ = 33153120.

The previous prime is 105335099. The next prime is 105335137. The reversal of 105335124 is 421533501.

It is a super-2 number, since 2×105335124² = 22190976696190752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105335094 and 105335103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19389 + ... + 24219.

It is an arithmetic number, because the mean of its divisors is an integer number (5411840).

Almost surely, 2^105335124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105335124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129884160).

105335124 is an abundant number, since it is smaller than the sum of its proper divisors (154433196).

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

105335124 is a wasteful number, since it uses less digits than its factorization.

105335124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105335124 is about 10263.2901157475. The cubic root of 105335124 is about 472.2707737259.

Adding to 105335124 its reverse (421533501), we get a palindrome (526868625).

The spelling of 105335124 in words is "one hundred five million, three hundred thirty-five thousand, one hundred twenty-four".