106013681 has 2 divisors, whose sum is σ = 106013682. Its totient is φ = 106013680.

The previous prime is 106013653. The next prime is 106013701. The reversal of 106013681 is 186310601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101103025 + 4910656 = 10055^2 + 2216^2 .

It is a cyclic number.

It is not a de Polignac number, because 106013681 - 2⁶ = 106013617 is a prime.

It is a super-2 number, since 2×106013681² = 22477801118339522, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106013681.

It is not a weakly prime, because it can be changed into another prime (106013641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53006840 + 53006841.

It is an arithmetic number, because the mean of its divisors is an integer number (53006841).

Almost surely, 2^106013681 is an apocalyptic number.

It is an amenable number.

106013681 is a deficient number, since it is larger than the sum of its proper divisors (1).

106013681 is an equidigital number, since it uses as much as digits as its factorization.

106013681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 106013681 is about 10296.2945276444. The cubic root of 106013681 is about 473.2827089392.

It can be divided in two parts, 1060 and 13681, that added together give a palindrome (14741).

The spelling of 106013681 in words is "one hundred six million, thirteen thousand, six hundred eighty-one".