109302972100 has 81 divisors (see below), whose sum is σ = 275970362157. Its totient is φ = 37467370080.

The previous prime is 109302972089. The next prime is 109302972101. The reversal of 109302972100 is 1279203901.

It is a happy number.

The square root of 109302972100 is 330610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39349069956 + 69953902144 = 198366^2 + 264488^2 .

It is not an unprimeable number, because it can be changed into a prime (109302972101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23140339 + ... + 23145061.

Almost surely, 2^109302972100 is an apocalyptic number.

109302972100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109302972100 is the 330610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109302972100

109302972100 is an abundant number, since it is smaller than the sum of its proper divisors (166667390057).

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

109302972100 is an frugal number, since it uses more digits than its factorization.

109302972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9474 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The spelling of 109302972100 in words is "one hundred nine billion, three hundred two million, nine hundred seventy-two thousand, one hundred".