100492763 has 32 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 77091840.

The previous prime is 100492747. The next prime is 100492771. The reversal of 100492763 is 367294001.

It is not a de Polignac number, because 100492763 - 2⁴ = 100492747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100492723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209558 + ... + 210036.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^100492763 is an apocalyptic number.

100492763 is a deficient number, since it is larger than the sum of its proper divisors (27240997).

100492763 is a wasteful number, since it uses less digits than its factorization.

100492763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 100492763 is about 10024.6078726302. The cubic root of 100492763 is about 464.9200355809.

The spelling of 100492763 in words is "one hundred million, four hundred ninety-two thousand, seven hundred sixty-three".