88106000 has 40 divisors (see below), whose sum is σ = 213045144. Its totient is φ = 35241600.

The previous prime is 88105993. The next prime is 88106003. The reversal of 88106000 is 60188.

It can be written as a sum of positive squares in 4 ways, for example, as 795664 + 87310336 = 892^2 + 9344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (88106003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20027 + ... + 24026.

Almost surely, 2^88106000 is an apocalyptic number.

88106000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88106000 is an abundant number, since it is smaller than the sum of its proper divisors (124939144).

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

88106000 is a wasteful number, since it uses less digits than its factorization.

88106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44076 (or 44060 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 88106000 is about 9386.4796382883. The cubic root of 88106000 is about 444.9745387949.

Adding to 88106000 its reverse (60188), we get a palindrome (88166188).

The spelling of 88106000 in words is "eighty-eight million, one hundred six thousand".