101649 has 8 divisors (see below), whose sum is σ = 140032. Its totient is φ = 65520.

The previous prime is 101641. The next prime is 101653. The reversal of 101649 is 946101.

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

It is not a de Polignac number, because 101649 - 2³ = 101641 is a prime.

It is a Duffinian number.

101649 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (101641) 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, 454 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (17504).

2¹⁰¹⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

101649 is a deficient number, since it is larger than the sum of its proper divisors (38383).

101649 is a wasteful number, since it uses less digits than its factorization.

101649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 101649 is about 318.8244030811. The cubic root of 101649 is about 46.6696313309.

The spelling of 101649 in words is "one hundred one thousand, six hundred forty-nine".