106371524801 has 2 divisors, whose sum is σ = 106371524802. Its totient is φ = 106371524800.

The previous prime is 106371524767. The next prime is 106371524803. The reversal of 106371524801 is 108425173601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65648688400 + 40722836401 = 256220^2 + 201799^2 .

It is a cyclic number.

It is not a de Polignac number, because 106371524801 - 2¹⁰ = 106371523777 is a prime.

It is a super-2 number, since 2×106371524801² (a number of 23 digits) contains 22 as substring.

Together with 106371524803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106371524803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53185762400 + 53185762401.

It is an arithmetic number, because the mean of its divisors is an integer number (53185762401).

Almost surely, 2^106371524801 is an apocalyptic number.

It is an amenable number.

106371524801 is a deficient number, since it is larger than the sum of its proper divisors (1).

106371524801 is an equidigital number, since it uses as much as digits as its factorization.

106371524801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 106371524801 in words is "one hundred six billion, three hundred seventy-one million, five hundred twenty-four thousand, eight hundred one".