105088697680 has 40 divisors (see below), whose sum is σ = 244536248232. Its totient is φ = 42000205824.

The previous prime is 105088697633. The next prime is 105088697687. The reversal of 105088697680 is 86796880501.

It can be written as a sum of positive squares in 4 ways, for example, as 221533456 + 104867164224 = 14884^2 + 323832^2 .

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

It is a super-2 number, since 2×105088697680² (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 (105088697687) 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, 455109 + ... + 645988.

Almost surely, 2^105088697680 is an apocalyptic number.

105088697680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105088697680 is an abundant number, since it is smaller than the sum of its proper divisors (139447550552).

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

105088697680 is a wasteful number, since it uses less digits than its factorization.

105088697680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102303 (or 1102297 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 58.

The spelling of 105088697680 in words is "one hundred five billion, eighty-eight million, six hundred ninety-seven thousand, six hundred eighty".