101456525105 has 8 divisors (see below), whose sum is σ = 131113047912. Its totient is φ = 74921741568.

The previous prime is 101456525081. The next prime is 101456525111. The reversal of 101456525105 is 501525654101.

It can be written as a sum of positive squares in 4 ways, for example, as 23764997281 + 77691527824 = 154159^2 + 278732^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101456525105 - 2⁶ = 101456525041 is a prime.

It is a super-2 number, since 2×101456525105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780434744 + ... + 780434873.

It is an arithmetic number, because the mean of its divisors is an integer number (16389130989).

Almost surely, 2^101456525105 is an apocalyptic number.

It is an amenable number.

101456525105 is a deficient number, since it is larger than the sum of its proper divisors (29656522807).

101456525105 is a wasteful number, since it uses less digits than its factorization.

101456525105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560869635.

The product of its (nonzero) digits is 30000, while the sum is 35.

The spelling of 101456525105 in words is "one hundred one billion, four hundred fifty-six million, five hundred twenty-five thousand, one hundred five".