44120100 has 144 divisors (see below), whose sum is σ = 139116096. Its totient is φ = 10752000.

The previous prime is 44120093. The next prime is 44120101. The reversal of 44120100 is 102144.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (44120101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208995 + ... + 209205.

It is an arithmetic number, because the mean of its divisors is an integer number (966084).

Almost surely, 2^44120100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69558048).

44120100 is an abundant number, since it is smaller than the sum of its proper divisors (94995996).

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

44120100 is a wasteful number, since it uses less digits than its factorization.

44120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 44120100 is about 6642.2962896878. The cubic root of 44120100 is about 353.3557499326.

Adding to 44120100 its reverse (102144), we get a palindrome (44222244).

The spelling of 44120100 in words is "forty-four million, one hundred twenty thousand, one hundred".