106137601 has 2 divisors, whose sum is σ = 106137602. Its totient is φ = 106137600.

The previous prime is 106137589. The next prime is 106137653. The reversal of 106137601 is 106731601.

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., 105370225 + 767376 = 10265^2 + 876^2 .

It is a cyclic number.

It is not a de Polignac number, because 106137601 - 2⁹ = 106137089 is a prime.

It is a super-2 number, since 2×106137601² = 22530380692070402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106137671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53068800 + 53068801.

It is an arithmetic number, because the mean of its divisors is an integer number (53068801).

Almost surely, 2^106137601 is an apocalyptic number.

It is an amenable number.

106137601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106137601 is an equidigital number, since it uses as much as digits as its factorization.

106137601 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 106137601 is about 10302.3104690162. The cubic root of 106137601 is about 473.4670447588.

The spelling of 106137601 in words is "one hundred six million, one hundred thirty-seven thousand, six hundred one".