45821106 has 64 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 14393808.

The previous prime is 45821071. The next prime is 45821107. The reversal of 45821106 is 60112854.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 45821106.

It is not an unprimeable number, because it can be changed into a prime (45821107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97885 + ... + 98351.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 2^45821106 is an apocalyptic number.

45821106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45821106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

45821106 is an abundant number, since it is smaller than the sum of its proper divisors (62006094).

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

45821106 is a wasteful number, since it uses less digits than its factorization.

45821106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 45821106 is about 6769.1288952124. The cubic root of 45821106 is about 357.8397012342.

The spelling of 45821106 in words is "forty-five million, eight hundred twenty-one thousand, one hundred six".