44601216100 has 135 divisors (see below), whose sum is σ = 113171270681. Its totient is φ = 15256365600.

The previous prime is 44601216071. The next prime is 44601216119. The reversal of 44601216100 is 161210644.

The square root of 44601216100 is 211190.

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., 16056437796 + 28544778304 = 126714^2 + 168952^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 103482885 + ... + 103483315.

Almost surely, 2^44601216100 is an apocalyptic number.

44601216100 is the 211190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44601216100

44601216100 is an abundant number, since it is smaller than the sum of its proper divisors (68570054581).

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

44601216100 is an frugal number, since it uses more digits than its factorization.

44601216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Multiplying 44601216100 by its sum of digits (25), we get a square (1115030402500 = 1055950²).

44601216100 divided by its sum of digits (25) gives a square (1784048644 = 42238²).

Adding to 44601216100 its reverse (161210644), we get a palindrome (44762426744).

The spelling of 44601216100 in words is "forty-four billion, six hundred one million, two hundred sixteen thousand, one hundred".