105350280 has 128 divisors (see below), whose sum is σ = 363847680. Its totient is φ = 23904000.

The previous prime is 105350261. The next prime is 105350293. The reversal of 105350280 is 82053501.

It is a super-2 number, since 2×105350280² = 22197362992156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105350280.

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, 139905 + ... + 140655.

It is an arithmetic number, because the mean of its divisors is an integer number (2842560).

Almost surely, 2^105350280 is an apocalyptic number.

105350280 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 105350280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181923840).

105350280 is an abundant number, since it is smaller than the sum of its proper divisors (258497400).

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

105350280 is a wasteful number, since it uses less digits than its factorization.

105350280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105350280 is about 10264.0284489084. The cubic root of 105350280 is about 472.2934233174.

The spelling of 105350280 in words is "one hundred five million, three hundred fifty thousand, two hundred eighty".