101016963 has 20 divisors (see below), whose sum is σ = 151240320. Its totient is φ = 67193712.

The previous prime is 101016961. The next prime is 101016967. The reversal of 101016963 is 369610101.

It is not a de Polignac number, because 101016963 - 2¹ = 101016961 is a prime.

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

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 (101016961) 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 19 ways as a sum of consecutive naturals, for example, 43998 + ... + 46236.

It is an arithmetic number, because the mean of its divisors is an integer number (7562016).

Almost surely, 2^101016963 is an apocalyptic number.

101016963 is a deficient number, since it is larger than the sum of its proper divisors (50223357).

101016963 is an equidigital number, since it uses as much as digits as its factorization.

101016963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 101016963 is about 10050.7195264817. The cubic root of 101016963 is about 465.7270208894.

The spelling of 101016963 in words is "one hundred one million, sixteen thousand, nine hundred sixty-three".