8744120100 has 135 divisors (see below), whose sum is σ = 28372290177. Its totient is φ = 2329521120.

The previous prime is 8744120081. The next prime is 8744120111. The reversal of 8744120100 is 10214478.

The square root of 8744120100 is 93510.

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., 3147883236 + 5596236864 = 56106^2 + 74808^2 .

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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8415381 + ... + 8416419.

Almost surely, 2^8744120100 is an apocalyptic number.

8744120100 is the 93510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8744120100

8744120100 is an abundant number, since it is smaller than the sum of its proper divisors (19628170077).

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

8744120100 is a wasteful number, since it uses less digits than its factorization.

8744120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The cubic root of 8744120100 is about 2060.1809703709.

Adding to 8744120100 its reverse (10214478), we get a palindrome (8754334578).

The spelling of 8744120100 in words is "eight billion, seven hundred forty-four million, one hundred twenty thousand, one hundred".