100993689 has 16 divisors (see below), whose sum is σ = 154780800. Its totient is φ = 65006928.

The previous prime is 100993687. The next prime is 100993693. The reversal of 100993689 is 986399001.

It is not a de Polignac number, because 100993689 - 2¹ = 100993687 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (100993681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63709 + ... + 65274.

It is an arithmetic number, because the mean of its divisors is an integer number (9673800).

Almost surely, 2^100993689 is an apocalyptic number.

It is an amenable number.

100993689 is a deficient number, since it is larger than the sum of its proper divisors (53787111).

100993689 is a wasteful number, since it uses less digits than its factorization.

100993689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129021 (or 129015 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 100993689 is about 10049.5616322305. The cubic root of 100993689 is about 465.6912507807.

It can be divided in two parts, 1009936 and 89, that added together give a square (1010025 = 1005²).

The spelling of 100993689 in words is "one hundred million, nine hundred ninety-three thousand, six hundred eighty-nine".