105085132051 has 2 divisors, whose sum is σ = 105085132052. Its totient is φ = 105085132050.

The previous prime is 105085132049. The next prime is 105085132067. The reversal of 105085132051 is 150231580501.

It is a weak prime.

It is an emirp because it is prime and its reverse (150231580501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105085132051 - 2¹ = 105085132049 is a prime.

It is a super-2 number, since 2×105085132051² (a number of 23 digits) contains 22 as substring.

Together with 105085132049, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105085132081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52542566025 + 52542566026.

It is an arithmetic number, because the mean of its divisors is an integer number (52542566026).

Almost surely, 2^105085132051 is an apocalyptic number.

105085132051 is a deficient number, since it is larger than the sum of its proper divisors (1).

105085132051 is an equidigital number, since it uses as much as digits as its factorization.

105085132051 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6000, while the sum is 31.

It can be divided in two parts, 10508513 and 2051, that added together give a square (10510564 = 3242²).

The spelling of 105085132051 in words is "one hundred five billion, eighty-five million, one hundred thirty-two thousand, fifty-one".