105387067700 has 36 divisors (see below), whose sum is σ = 228810649452. Its totient is φ = 42132576000.

The previous prime is 105387067691. The next prime is 105387067717. The reversal of 105387067700 is 7760783501.

It can be written as a sum of positive squares in 6 ways, for example, as 124456336 + 105262611364 = 11156^2 + 324442^2 .

It is a super-2 number, since 2×105387067700² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87089 + ... + 467288.

Almost surely, 2^105387067700 is an apocalyptic number.

105387067700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105387067700 is an abundant number, since it is smaller than the sum of its proper divisors (123423581752).

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

105387067700 is a wasteful number, since it uses less digits than its factorization.

105387067700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556292 (or 556285 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 44.

The spelling of 105387067700 in words is "one hundred five billion, three hundred eighty-seven million, sixty-seven thousand, seven hundred".