100072197 has 6 divisors (see below), whose sum is σ = 144548742. Its totient is φ = 66714792.

The previous prime is 100072177. The next prime is 100072199. The reversal of 100072197 is 791270001.

It can be written as a sum of positive squares in only one way, i.e., 91126116 + 8946081 = 9546^2 + 2991^2 .

It is not a de Polignac number, because 100072197 - 2¹⁶ = 100006661 is a prime.

It is a super-2 number, since 2×100072197² = 20028889224813618, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100072197.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100072199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5559558 + ... + 5559575.

It is an arithmetic number, because the mean of its divisors is an integer number (24091457).

Almost surely, 2^100072197 is an apocalyptic number.

It is an amenable number.

100072197 is a deficient number, since it is larger than the sum of its proper divisors (44476545).

100072197 is a wasteful number, since it uses less digits than its factorization.

100072197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11119139 (or 11119136 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 100072197 is about 10003.6091986842. The cubic root of 100072197 is about 464.2705594197.

The spelling of 100072197 in words is "one hundred million, seventy-two thousand, one hundred ninety-seven".