45103760 has 80 divisors (see below), whose sum is σ = 116659200. Its totient is φ = 16104960.

The previous prime is 45103733. The next prime is 45103763. The reversal of 45103760 is 6730154.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×45103760² = 4068698332275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (45103763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31541 + ... + 32939.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 2^45103760 is an apocalyptic number.

45103760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45103760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58329600).

45103760 is an abundant number, since it is smaller than the sum of its proper divisors (71555440).

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

45103760 is a wasteful number, since it uses less digits than its factorization.

45103760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 45103760 is about 6715.9332932959. The cubic root of 45103760 is about 355.9625007844.

The spelling of 45103760 in words is "forty-five million, one hundred three thousand, seven hundred sixty".