107249700100 has 27 divisors (see below), whose sum is σ = 232738955967. Its totient is φ = 42898570080.

The previous prime is 107249700073. The next prime is 107249700161. The reversal of 107249700100 is 1007942701.

The square root of 107249700100 is 327490.

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 16074689796 + 91175010304 = 126786^2 + 301952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3258526 + ... + 3291274.

Almost surely, 2^107249700100 is an apocalyptic number.

107249700100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107249700100 is the 327490-th square number.

It is an amenable number.

107249700100 is an abundant number, since it is smaller than the sum of its proper divisors (125489255867).

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

107249700100 is an frugal number, since it uses more digits than its factorization.

107249700100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65512 (or 32756 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The spelling of 107249700100 in words is "one hundred seven billion, two hundred forty-nine million, seven hundred thousand, one hundred".