100836097209 has 63 divisors (see below), whose sum is σ = 159819073173. Its totient is φ = 63583070904.

The previous prime is 100836097207. The next prime is 100836097211. The reversal of 100836097209 is 902790638001.

The square root of 100836097209 is 317547.

It is a perfect power (a square), and thus also a powerful number.

100836097209 is a `hidden beast` number, since 10 + 0 + 8 + 3 + 609 + 7 + 20 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (100836097207) and next prime (100836097211).

It is not a de Polignac number, because 100836097209 - 2¹ = 100836097207 is a prime.

It is a super-3 number, since 3×100836097209³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100836097207) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 162901302 + ... + 162901920.

Almost surely, 2^100836097209 is an apocalyptic number.

100836097209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100836097209 is the 317547-th square number.

100836097209 is the 158774-th centered octagonal number.

It is an amenable number.

100836097209 is a deficient number, since it is larger than the sum of its proper divisors (58982975964).

100836097209 is an frugal number, since it uses more digits than its factorization.

100836097209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 100836097209 in words is "one hundred billion, eight hundred thirty-six million, ninety-seven thousand, two hundred nine".