109819332100 has 81 divisors (see below), whose sum is σ = 246473847711. Its totient is φ = 42470942400.

The previous prime is 109819332083. The next prime is 109819332107. The reversal of 109819332100 is 1233918901.

The square root of 109819332100 is 331390.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3303260676 + 106516071424 = 57474^2 + 326368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 109819332100.

It is not an unprimeable number, because it can be changed into a prime (109819332107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102730366 + ... + 102731434.

Almost surely, 2^109819332100 is an apocalyptic number.

109819332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109819332100 is the 331390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109819332100

109819332100 is an abundant number, since it is smaller than the sum of its proper divisors (136654515611).

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

109819332100 is an equidigital number, since it uses as much as digits as its factorization.

109819332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 109819332100 in words is "one hundred nine billion, eight hundred nineteen million, three hundred thirty-two thousand, one hundred".