105314532080 has 40 divisors (see below), whose sum is σ = 244876416192. Its totient is φ = 42122349824.

The previous prime is 105314532067. The next prime is 105314532083. The reversal of 105314532080 is 80235413501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105314532080² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105314532083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1070234 + ... + 1164486.

Almost surely, 2^105314532080 is an apocalyptic number.

105314532080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105314532080 is an abundant number, since it is smaller than the sum of its proper divisors (139561884112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105314532080 is a wasteful number, since it uses less digits than its factorization.

105314532080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108233 (or 108227 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 105314532080 its reverse (80235413501), we get a palindrome (185549945581).

The spelling of 105314532080 in words is "one hundred five billion, three hundred fourteen million, five hundred thirty-two thousand, eighty".