103986900900 has 135 divisors (see below), whose sum is σ = 337178556561. Its totient is φ = 27722100960.

The previous prime is 103986900883. The next prime is 103986900907. The reversal of 103986900900 is 9009689301.

The square root of 103986900900 is 322470.

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., 37435284324 + 66551616576 = 193482^2 + 257976^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103986900907) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 29020509 + ... + 29024091.

Almost surely, 2^103986900900 is an apocalyptic number.

103986900900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103986900900 is the 322470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103986900900

103986900900 is an abundant number, since it is smaller than the sum of its proper divisors (233191655661).

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

103986900900 is an frugal number, since it uses more digits than its factorization.

103986900900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7192 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 103986900900 in words is "one hundred three billion, nine hundred eighty-six million, nine hundred thousand, nine hundred".