100889793 has 40 divisors (see below), whose sum is σ = 156188736. Its totient is φ = 64864800.

The previous prime is 100889749. The next prime is 100889801. The reversal of 100889793 is 397988001.

It is not a de Polignac number, because 100889793 - 2⁹ = 100889281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100889093) 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 39 ways as a sum of consecutive naturals, for example, 304638 + ... + 304968.

Almost surely, 2^100889793 is an apocalyptic number.

It is an amenable number.

100889793 is a deficient number, since it is larger than the sum of its proper divisors (55298943).

100889793 is an equidigital number, since it uses as much as digits as its factorization.

100889793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 100889793 is about 10044.3911214170. The cubic root of 100889793 is about 465.5315046307.

It can be divided in two parts, 10088 and 9793, that added together give a square (19881 = 141²).

The spelling of 100889793 in words is "one hundred million, eight hundred eighty-nine thousand, seven hundred ninety-three".