106013653 has 2 divisors, whose sum is σ = 106013654. Its totient is φ = 106013652.

The previous prime is 106013641. The next prime is 106013681. The reversal of 106013653 is 356310601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90592324 + 15421329 = 9518^2 + 3927^2 .

It is an emirp because it is prime and its reverse (356310601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106013653 - 2²⁵ = 72459221 is a prime.

It is a super-2 number, since 2×106013653² = 22477789244808818, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106013753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53006826 + 53006827.

It is an arithmetic number, because the mean of its divisors is an integer number (53006827).

Almost surely, 2^106013653 is an apocalyptic number.

It is an amenable number.

106013653 is a deficient number, since it is larger than the sum of its proper divisors (1).

106013653 is an equidigital number, since it uses as much as digits as its factorization.

106013653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 106013653 is about 10296.2931679318. The cubic root of 106013653 is about 473.2826672719.

The spelling of 106013653 in words is "one hundred six million, thirteen thousand, six hundred fifty-three".