101005263 has 12 divisors (see below), whose sum is σ = 149455488. Its totient is φ = 65694240.

The previous prime is 101005253. The next prime is 101005277. The reversal of 101005263 is 362500101.

It is not a de Polignac number, because 101005263 - 2¹⁴ = 100988879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136495 + ... + 137232.

It is an arithmetic number, because the mean of its divisors is an integer number (12454624).

Almost surely, 2^101005263 is an apocalyptic number.

101005263 is a deficient number, since it is larger than the sum of its proper divisors (48450225).

101005263 is a wasteful number, since it uses less digits than its factorization.

101005263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273774 (or 273771 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 101005263 is about 10050.1374617465. The cubic root of 101005263 is about 465.7090396963.

Adding to 101005263 its reverse (362500101), we get a palindrome (463505364).

The spelling of 101005263 in words is "one hundred one million, five thousand, two hundred sixty-three".