101306673 has 32 divisors (see below), whose sum is σ = 162288000. Its totient is φ = 62088768.

The previous prime is 101306663. The next prime is 101306693. The reversal of 101306673 is 376603101.

It is not a de Polignac number, because 101306673 - 2⁵ = 101306641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101306663) 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 31 ways as a sum of consecutive naturals, for example, 122086 + ... + 122912.

It is an arithmetic number, because the mean of its divisors is an integer number (5071500).

Almost surely, 2^101306673 is an apocalyptic number.

101306673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101306673 is a deficient number, since it is larger than the sum of its proper divisors (60981327).

101306673 is a wasteful number, since it uses less digits than its factorization.

101306673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 101306673 is about 10065.1216088033. The cubic root of 101306673 is about 466.1718207535.

Adding to 101306673 its reverse (376603101), we get a palindrome (477909774).

The spelling of 101306673 in words is "one hundred one million, three hundred six thousand, six hundred seventy-three".