100021693 has 8 divisors (see below), whose sum is σ = 108768312. Its totient is φ = 91593216.

The previous prime is 100021679. The next prime is 100021699. The reversal of 100021693 is 396120001.

It can be written as a sum of positive squares in 4 ways, for example, as 55905529 + 44116164 = 7477^2 + 6642^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100021693 - 2⁵ = 100021661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78880 + ... + 80137.

It is an arithmetic number, because the mean of its divisors is an integer number (13596039).

Almost surely, 2^100021693 is an apocalyptic number.

It is an amenable number.

100021693 is a deficient number, since it is larger than the sum of its proper divisors (8746619).

100021693 is a wasteful number, since it uses less digits than its factorization.

100021693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159071.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 100021693 is about 10001.0845911831. The cubic root of 100021693 is about 464.1924442635.

Adding to 100021693 its reverse (396120001), we get a palindrome (496141694).

The spelling of 100021693 in words is "one hundred million, twenty-one thousand, six hundred ninety-three".