101229985 has 16 divisors (see below), whose sum is σ = 129575376. Its totient is φ = 75655168.

The previous prime is 101229979. The next prime is 101229991. The reversal of 101229985 is 589922101.

It is an interprime number because it is at equal distance from previous prime (101229979) and next prime (101229991).

It can be written as a sum of positive squares in 8 ways, for example, as 2505889 + 98724096 = 1583^2 + 9936^2 .

It is not a de Polignac number, because 101229985 - 2²¹ = 99132833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7299 + ... + 15991.

It is an arithmetic number, because the mean of its divisors is an integer number (8098461).

Almost surely, 2^101229985 is an apocalyptic number.

It is an amenable number.

101229985 is a deficient number, since it is larger than the sum of its proper divisors (28345391).

101229985 is a wasteful number, since it uses less digits than its factorization.

101229985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852.

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 101229985 is about 10061.3112962476. The cubic root of 101229985 is about 466.0541621365.

The spelling of 101229985 in words is "one hundred one million, two hundred twenty-nine thousand, nine hundred eighty-five".