106101637 has 2 divisors, whose sum is σ = 106101638. Its totient is φ = 106101636.

The previous prime is 106101629. The next prime is 106101659. The reversal of 106101637 is 736101601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57017601 + 49084036 = 7551^2 + 7006^2 .

It is an emirp because it is prime and its reverse (736101601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106101637 - 2³ = 106101629 is a prime.

It is a super-3 number, since 3×106101637³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106102637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050818 + 53050819.

It is an arithmetic number, because the mean of its divisors is an integer number (53050819).

Almost surely, 2^106101637 is an apocalyptic number.

It is an amenable number.

106101637 is a deficient number, since it is larger than the sum of its proper divisors (1).

106101637 is an equidigital number, since it uses as much as digits as its factorization.

106101637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 106101637 is about 10300.5648874224. The cubic root of 106101637 is about 473.4135616945.

The spelling of 106101637 in words is "one hundred six million, one hundred one thousand, six hundred thirty-seven".