109706688400 has 45 divisors (see below), whose sum is σ = 263586234963. Its totient is φ = 43880025600.

The previous prime is 109706688397. The next prime is 109706688433. The reversal of 109706688400 is 4886607901.

The square root of 109706688400 is 331220.

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 47494356624 + 62212331776 = 217932^2 + 249424^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 6616120 + ... + 6632680.

Almost surely, 2^109706688400 is an apocalyptic number.

109706688400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109706688400 is the 331220-th square number.

It is an amenable number.

109706688400 is an abundant number, since it is smaller than the sum of its proper divisors (153879546563).

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

109706688400 is an frugal number, since it uses more digits than its factorization.

109706688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33140 (or 16568 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 109706688400 by its sum of digits (49), we get a square (5375627731600 = 2318540²).

The spelling of 109706688400 in words is "one hundred nine billion, seven hundred six million, six hundred eighty-eight thousand, four hundred".