105578837381523 has 128 divisors (see below), whose sum is σ = 165035122237440. Its totient is φ = 59362668288000.

The previous prime is 105578837381509. The next prime is 105578837381533. The reversal of 105578837381523 is 325183738875501.

It is not a de Polignac number, because 105578837381523 - 2¹⁴ = 105578837365139 is a prime.

It is a super-2 number, since 2×105578837381523² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105578837381533) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15680798265 + ... + 15680804997.

It is an arithmetic number, because the mean of its divisors is an integer number (1289336892480).

Almost surely, 2^{105578837381523} is an apocalyptic number.

105578837381523 is a deficient number, since it is larger than the sum of its proper divisors (59456284855917).

105578837381523 is a wasteful number, since it uses less digits than its factorization.

105578837381523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9161.

The product of its (nonzero) digits is 169344000, while the sum is 66.

The spelling of 105578837381523 in words is "one hundred five trillion, five hundred seventy-eight billion, eight hundred thirty-seven million, three hundred eighty-one thousand, five hundred twenty-three".