109289916100 has 36 divisors (see below), whose sum is σ = 237221130244. Its totient is φ = 43704535680.

The previous prime is 109289916083. The next prime is 109289916121. The reversal of 109289916100 is 1619982901.

It can be written as a sum of positive squares in 6 ways, for example, as 411035076 + 108878881024 = 20274^2 + 329968^2 .

It is a super-2 number, since 2×109289916100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246754 + ... + 528646.

Almost surely, 2^109289916100 is an apocalyptic number.

109289916100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109289916100 is an abundant number, since it is smaller than the sum of its proper divisors (127931214144).

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

109289916100 is a wasteful number, since it uses less digits than its factorization.

109289916100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285784 (or 285777 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 46.

The spelling of 109289916100 in words is "one hundred nine billion, two hundred eighty-nine million, nine hundred sixteen thousand, one hundred".