45101144 has 32 divisors (see below), whose sum is σ = 92629440. Its totient is φ = 20416800.

The previous prime is 45101131. The next prime is 45101149. The reversal of 45101144 is 44110154.

It is a super-2 number, since 2×45101144² = 4068226380217472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45101149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23999 + ... + 25809.

It is an arithmetic number, because the mean of its divisors is an integer number (2894670).

Almost surely, 2^45101144 is an apocalyptic number.

45101144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45101144 is an abundant number, since it is smaller than the sum of its proper divisors (47528296).

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

45101144 is a wasteful number, since it uses less digits than its factorization.

45101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 45101144 is about 6715.7385297523. The cubic root of 45101144 is about 355.9556187572.

Adding to 45101144 its reverse (44110154), we get a palindrome (89211298).

The spelling of 45101144 in words is "forty-five million, one hundred one thousand, one hundred forty-four".