101023305 has 16 divisors (see below), whose sum is σ = 162103680. Its totient is φ = 53723648.

The previous prime is 101023289. The next prime is 101023319. The reversal of 101023305 is 503320101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101023305 - 2⁴ = 101023289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4245 + ... + 14834.

It is an arithmetic number, because the mean of its divisors is an integer number (10131480).

Almost surely, 2^101023305 is an apocalyptic number.

101023305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101023305 is a deficient number, since it is larger than the sum of its proper divisors (61080375).

101023305 is a wasteful number, since it uses less digits than its factorization.

101023305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19440.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 101023305 is about 10051.0350213299. The cubic root of 101023305 is about 465.7367670378.

Adding to 101023305 its reverse (503320101), we get a palindrome (604343406).

The spelling of 101023305 in words is "one hundred one million, twenty-three thousand, three hundred five".