45353100 has 144 divisors (see below), whose sum is σ = 146553120. Its totient is φ = 10752000.

The previous prime is 45353081. The next prime is 45353101. The reversal of 45353100 is 135354.

It is a super-2 number, since 2×45353100² = 4113807359220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45353101) 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, 112900 + ... + 113300.

It is an arithmetic number, because the mean of its divisors is an integer number (1017730).

Almost surely, 2^45353100 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 45353100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73276560).

45353100 is an abundant number, since it is smaller than the sum of its proper divisors (101200020).

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

45353100 is a wasteful number, since it uses less digits than its factorization.

45353100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 45353100 is about 6734.4710259975. The cubic root of 45353100 is about 356.6172328883.

Adding to 45353100 its reverse (135354), we get a palindrome (45488454).

The spelling of 45353100 in words is "forty-five million, three hundred fifty-three thousand, one hundred".