71105268 has 96 divisors (see below), whose sum is σ = 186855424. Its totient is φ = 20901888.

The previous prime is 71105267. The next prime is 71105297. The reversal of 71105268 is 86250117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71105263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559821 + ... + 559947.

Almost surely, 2^71105268 is an apocalyptic number.

71105268 is a gapful number since it is divisible by the number (78) 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 71105268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93427712).

71105268 is an abundant number, since it is smaller than the sum of its proper divisors (115750156).

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

71105268 is a wasteful number, since it uses less digits than its factorization.

71105268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 71105268 is about 8432.3939661285. The cubic root of 71105268 is about 414.2863197092.

The spelling of 71105268 in words is "seventy-one million, one hundred five thousand, two hundred sixty-eight".