10355680100 has 36 divisors (see below), whose sum is σ = 22524058368. Its totient is φ = 4132644000.

The previous prime is 10355680087. The next prime is 10355680109. The reversal of 10355680100 is 108655301.

10355680100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10355680100³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10355680109) 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 11 ways as a sum of consecutive naturals, for example, 77036 + ... + 163235.

It is an arithmetic number, because the mean of its divisors is an integer number (625668288).

Almost surely, 2^10355680100 is an apocalyptic number.

10355680100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10355680100 is an abundant number, since it is smaller than the sum of its proper divisors (12168378268).

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

10355680100 is a wasteful number, since it uses less digits than its factorization.

10355680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240716 (or 240709 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 10355680100 in words is "ten billion, three hundred fifty-five million, six hundred eighty thousand, one hundred".