101038305 has 32 divisors (see below), whose sum is σ = 166852224. Its totient is φ = 52171776.

The previous prime is 101038303. The next prime is 101038319. The reversal of 101038305 is 503830101.

It is a happy number.

It is not a de Polignac number, because 101038305 - 2¹ = 101038303 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (101038303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170089 + ... + 170681.

It is an arithmetic number, because the mean of its divisors is an integer number (5214132).

Almost surely, 2^101038305 is an apocalyptic number.

101038305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101038305 is a deficient number, since it is larger than the sum of its proper divisors (65813919).

101038305 is a wasteful number, since it uses less digits than its factorization.

101038305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 101038305 is about 10051.7811854417. The cubic root of 101038305 is about 465.7598168538.

Adding to 101038305 its reverse (503830101), we get a palindrome (604868406).

The spelling of 101038305 in words is "one hundred one million, thirty-eight thousand, three hundred five".