106510201050125 has 16 divisors (see below), whose sum is σ = 140743832731632. Its totient is φ = 80195916083200.

The previous prime is 106510201050109. The next prime is 106510201050133. The reversal of 106510201050125 is 521050102015601.

It can be written as a sum of positive squares in 8 ways, for example, as 23689772121796 + 82820428928329 = 4867214^2 + 9100573^2 .

It is not a de Polignac number, because 106510201050125 - 2⁴ = 106510201050109 is a prime.

It is a super-2 number, since 2×106510201050125² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25061221652 + ... + 25061225901.

It is an arithmetic number, because the mean of its divisors is an integer number (8796489545727).

Almost surely, 2^{106510201050125} is an apocalyptic number.

It is an amenable number.

106510201050125 is a deficient number, since it is larger than the sum of its proper divisors (34233631681507).

106510201050125 is an equidigital number, since it uses as much as digits as its factorization.

106510201050125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50122447585 (or 50122447575 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 29.

Adding to 106510201050125 its reverse (521050102015601), we get a palindrome (627560303065726).

The spelling of 106510201050125 in words is "one hundred six trillion, five hundred ten billion, two hundred one million, fifty thousand, one hundred twenty-five".