109006681700 has 288 divisors, whose sum is σ = 282131942400. Its totient is φ = 35788677120.

The previous prime is 109006681681. The next prime is 109006681709. The reversal of 109006681700 is 7186600901.

It is a super-2 number, since 2×109006681700² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109006681709) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 405229166 + ... + 405229434.

It is an arithmetic number, because the mean of its divisors is an integer number (979624800).

Almost surely, 2^109006681700 is an apocalyptic number.

109006681700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109006681700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141065971200).

109006681700 is an abundant number, since it is smaller than the sum of its proper divisors (173125260700).

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

109006681700 is a wasteful number, since it uses less digits than its factorization.

109006681700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 109006681700 in words is "one hundred nine billion, six million, six hundred eighty-one thousand, seven hundred".