105081284 has 144 divisors (see below), whose sum is σ = 256483584. Its totient is φ = 37094400.

The previous prime is 105081281. The next prime is 105081287. The reversal of 105081284 is 482180501.

It is an interprime number because it is at equal distance from previous prime (105081281) and next prime (105081287).

It is a super-2 number, since 2×105081284² = 22084152494177312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105081281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722614 + ... + 1722674.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^105081284 is an apocalyptic number.

105081284 is a gapful number since it is divisible by the number (14) 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 105081284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128241792).

105081284 is an abundant number, since it is smaller than the sum of its proper divisors (151402300).

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

105081284 is a wasteful number, since it uses less digits than its factorization.

105081284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 105081284 is about 10250.9162517309. The cubic root of 105081284 is about 471.8911041037.

The spelling of 105081284 in words is "one hundred five million, eighty-one thousand, two hundred eighty-four".