106238763 has 32 divisors (see below), whose sum is σ = 169516800. Its totient is φ = 65513088.

The previous prime is 106238731. The next prime is 106238777. The reversal of 106238763 is 367832601.

It is a happy number.

It is not a de Polignac number, because 106238763 - 2⁵ = 106238731 is a prime.

It is a super-2 number, since 2×106238763² = 22573349527540338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106238263) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25120 + ... + 29042.

It is an arithmetic number, because the mean of its divisors is an integer number (5297400).

Almost surely, 2^106238763 is an apocalyptic number.

106238763 is a deficient number, since it is larger than the sum of its proper divisors (63278037).

106238763 is a wasteful number, since it uses less digits than its factorization.

106238763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 106238763 is about 10307.2189750679. The cubic root of 106238763 is about 473.6174208228.

The spelling of 106238763 in words is "one hundred six million, two hundred thirty-eight thousand, seven hundred sixty-three".