100109997 has 12 divisors (see below), whose sum is σ = 155726844. Its totient is φ = 61606080.

The previous prime is 100109983. The next prime is 100110013. The reversal of 100109997 is 799901001.

It can be written as a sum of positive squares in 2 ways, for example, as 68906601 + 31203396 = 8301^2 + 5586^2 .

It is not a de Polignac number, because 100109997 - 2¹¹ = 100107949 is a prime.

It is a super-2 number, since 2×100109997² = 20044022998680018, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100109927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427704 + ... + 427937.

It is an arithmetic number, because the mean of its divisors is an integer number (12977237).

Almost surely, 2^100109997 is an apocalyptic number.

It is an amenable number.

100109997 is a deficient number, since it is larger than the sum of its proper divisors (55616847).

100109997 is a wasteful number, since it uses less digits than its factorization.

100109997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855660 (or 855657 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 36.

The square root of 100109997 is about 10005.4983384137. The cubic root of 100109997 is about 464.3290079482.

The spelling of 100109997 in words is "one hundred million, one hundred nine thousand, nine hundred ninety-seven".