105242760 has 128 divisors (see below), whose sum is σ = 400953600. Its totient is φ = 24053760.

The previous prime is 105242747. The next prime is 105242821. The reversal of 105242760 is 67242501.

It is a super-2 number, since 2×105242760² = 22152077064835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600 + ... + 14520.

It is an arithmetic number, because the mean of its divisors is an integer number (3132450).

Almost surely, 2^105242760 is an apocalyptic number.

105242760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105242760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200476800).

105242760 is an abundant number, since it is smaller than the sum of its proper divisors (295710840).

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

105242760 is a wasteful number, since it uses less digits than its factorization.

105242760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13948 (or 13938 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105242760 is about 10258.7894022638. The cubic root of 105242760 is about 472.1326951438.

The spelling of 105242760 in words is "one hundred five million, two hundred forty-two thousand, seven hundred sixty".