101405985 has 8 divisors (see below), whose sum is σ = 162249600. Its totient is φ = 54083184.

The previous prime is 101405981. The next prime is 101405987. The reversal of 101405985 is 589504101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101405985 - 2² = 101405981 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101405981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3380185 + ... + 3380214.

It is an arithmetic number, because the mean of its divisors is an integer number (20281200).

Almost surely, 2^101405985 is an apocalyptic number.

101405985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101405985 is a deficient number, since it is larger than the sum of its proper divisors (60843615).

101405985 is an equidigital number, since it uses as much as digits as its factorization.

101405985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760407.

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 101405985 is about 10070.0538727457. The cubic root of 101405985 is about 466.3241020542.

The spelling of 101405985 in words is "one hundred one million, four hundred five thousand, nine hundred eighty-five".