88248105 has 48 divisors (see below), whose sum is σ = 176701824. Its totient is φ = 40266240.

The previous prime is 88248077. The next prime is 88248107. The reversal of 88248105 is 50184288.

It is not a de Polignac number, because 88248105 - 2¹⁴ = 88231721 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 88248105.

It is not an unprimeable number, because it can be changed into a prime (88248107) 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, 3172 + ... + 13658.

It is an arithmetic number, because the mean of its divisors is an integer number (3681288).

Almost surely, 2^88248105 is an apocalyptic number.

88248105 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

88248105 is an abundant number, since it is smaller than the sum of its proper divisors (88453719).

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

88248105 is a wasteful number, since it uses less digits than its factorization.

88248105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10526 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 88248105 is about 9394.0462528135. The cubic root of 88248105 is about 445.2136414717.

The spelling of 88248105 in words is "eighty-eight million, two hundred forty-eight thousand, one hundred five".