107133101 has 2 divisors, whose sum is σ = 107133102. Its totient is φ = 107133100.

The previous prime is 107133097. The next prime is 107133113. The reversal of 107133101 is 101331701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82828201 + 24304900 = 9101^2 + 4930^2 .

It is a cyclic number.

It is not a de Polignac number, because 107133101 - 2² = 107133097 is a prime.

It is a super-2 number, since 2×107133101² = 22955002659752402, 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 107133101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107133161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53566550 + 53566551.

It is an arithmetic number, because the mean of its divisors is an integer number (53566551).

Almost surely, 2^107133101 is an apocalyptic number.

It is an amenable number.

107133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

107133101 is an equidigital number, since it uses as much as digits as its factorization.

107133101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 107133101 is about 10350.5121129343. The cubic root of 107133101 is about 474.9427092491.

Adding to 107133101 its reverse (101331701), we get a palindrome (208464802).

The spelling of 107133101 in words is "one hundred seven million, one hundred thirty-three thousand, one hundred one".