106824274498901 has 2 divisors, whose sum is σ = 106824274498902. Its totient is φ = 106824274498900.

The previous prime is 106824274498883. The next prime is 106824274498919. The reversal of 106824274498901 is 109894472428601.

It is a balanced prime because it is at equal distance from previous prime (106824274498883) and next prime (106824274498919).

It can be written as a sum of positive squares in only one way, i.e., 62072322202801 + 44751952296100 = 7878599^2 + 6689690^2 .

It is a cyclic number.

It is not a de Polignac number, because 106824274498901 - 2¹⁴ = 106824274482517 is a prime.

It is a super-2 number, since 2×106824274498901² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106824274498301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53412137249450 + 53412137249451.

It is an arithmetic number, because the mean of its divisors is an integer number (53412137249451).

Almost surely, 2^{106824274498901} is an apocalyptic number.

It is an amenable number.

106824274498901 is a deficient number, since it is larger than the sum of its proper divisors (1).

106824274498901 is an equidigital number, since it uses as much as digits as its factorization.

106824274498901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55738368, while the sum is 65.

The spelling of 106824274498901 in words is "one hundred six trillion, eight hundred twenty-four billion, two hundred seventy-four million, four hundred ninety-eight thousand, nine hundred one".