105745280 has 64 divisors (see below), whose sum is σ = 254983680. Its totient is φ = 41932800.

The previous prime is 105745267. The next prime is 105745307. The reversal of 105745280 is 82547501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105745280² = 22364128484556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80630 + ... + 81930.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2^105745280 is an apocalyptic number.

105745280 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 105745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

105745280 is an abundant number, since it is smaller than the sum of its proper divisors (149238400).

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

105745280 is a wasteful number, since it uses less digits than its factorization.

105745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 105745280 is about 10283.2524037874. The cubic root of 105745280 is about 472.8829589418.

The spelling of 105745280 in words is "one hundred five million, seven hundred forty-five thousand, two hundred eighty".