45101400 has 48 divisors (see below), whose sum is σ = 139816200. Its totient is φ = 12026880.

The previous prime is 45101393. The next prime is 45101423. The reversal of 45101400 is 410154.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 45101400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36985 + ... + 38184.

Almost surely, 2^45101400 is an apocalyptic number.

45101400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45101400 is an abundant number, since it is smaller than the sum of its proper divisors (94714800).

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

45101400 is a wasteful number, since it uses less digits than its factorization.

45101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75188 (or 75179 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 45101400 is about 6715.7575894310. The cubic root of 45101400 is about 355.9562922395.

Adding to 45101400 its reverse (410154), we get a palindrome (45511554).

The spelling of 45101400 in words is "forty-five million, one hundred one thousand, four hundred".