105024720 has 80 divisors (see below), whose sum is σ = 331139520. Its totient is φ = 27528192.

The previous prime is 105024719. The next prime is 105024721. The reversal of 105024720 is 27420501.

It is an interprime number because it is at equal distance from previous prime (105024719) and next prime (105024721).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105024720² = 22060383622156800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105024721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10452 + ... + 17868.

It is an arithmetic number, because the mean of its divisors is an integer number (4139244).

Almost surely, 2^105024720 is an apocalyptic number.

105024720 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 105024720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165569760).

105024720 is an abundant number, since it is smaller than the sum of its proper divisors (226114800).

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

105024720 is a wasteful number, since it uses less digits than its factorization.

105024720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7492 (or 7486 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 105024720 is about 10248.1569074639. The cubic root of 105024720 is about 471.8064177918.

The spelling of 105024720 in words is "one hundred five million, twenty-four thousand, seven hundred twenty".