105455280 has 160 divisors (see below), whose sum is σ = 382975488. Its totient is φ = 23500800.

The previous prime is 105455249. The next prime is 105455297. The reversal of 105455280 is 82554501.

It is a super-2 number, since 2×105455280² = 22241632159756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 68115 + ... + 69645.

Almost surely, 2^105455280 is an apocalyptic number.

105455280 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 105455280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191487744).

105455280 is an abundant number, since it is smaller than the sum of its proper divisors (277520208).

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

105455280 is a wasteful number, since it uses less digits than its factorization.

105455280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 105455280 is about 10269.1421258058. The cubic root of 105455280 is about 472.4502789146.

The spelling of 105455280 in words is "one hundred five million, four hundred fifty-five thousand, two hundred eighty".