132105005010251 has 48 divisors (see below), whose sum is σ = 163863272701440. Its totient is φ = 104280360387840.

The previous prime is 132105005010233. The next prime is 132105005010263. The reversal of 132105005010251 is 152010500501231.

It is not a de Polignac number, because 132105005010251 - 2¹⁴ = 132105004993867 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132105005010251.

It is not an unprimeable number, because it can be changed into a prime (132105005012251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2189204786 + ... + 2189265128.

It is an arithmetic number, because the mean of its divisors is an integer number (3413818181280).

Almost surely, 2^{132105005010251} is an apocalyptic number.

132105005010251 is a deficient number, since it is larger than the sum of its proper divisors (31758267691189).

132105005010251 is a wasteful number, since it uses less digits than its factorization.

132105005010251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64636 (or 64623 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

Adding to 132105005010251 its reverse (152010500501231), we get a palindrome (284115505511482).

The spelling of 132105005010251 in words is "one hundred thirty-two trillion, one hundred five billion, five million, ten thousand, two hundred fifty-one".