105067387881 has 27 divisors (see below), whose sum is σ = 153397979319. Its totient is φ = 69298752672.

The previous prime is 105067387879. The next prime is 105067387889. The reversal of 105067387881 is 188783760501.

It is a happy number.

The square root of 105067387881 is 324141.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 95290133481 + 9777254400 = 308691^2 + 98880^2 .

It is not a de Polignac number, because 105067387881 - 2¹ = 105067387879 is a prime.

It is a super-2 number, since 2×105067387881² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105067387889) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100159045 + ... + 100160093.

Almost surely, 2^105067387881 is an apocalyptic number.

105067387881 is the 324141-st square number.

105067387881 is the 162071-st centered octagonal number.

It is an amenable number.

105067387881 is a deficient number, since it is larger than the sum of its proper divisors (48330591438).

105067387881 is an frugal number, since it uses more digits than its factorization.

105067387881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 105067387881 in words is "one hundred five billion, sixty-seven million, three hundred eighty-seven thousand, eight hundred eighty-one".