1045140600 has 288 divisors, whose sum is σ = 3969388800. Its totient is φ = 226195200.

The previous prime is 1045140587. The next prime is 1045140623. The reversal of 1045140600 is 60415401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 557665 + ... + 559535.

It is an arithmetic number, because the mean of its divisors is an integer number (13782600).

Almost surely, 2^1045140600 is an apocalyptic number.

1045140600 is a gapful number since it is divisible by the number (10) 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 1045140600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984694400).

1045140600 is an abundant number, since it is smaller than the sum of its proper divisors (2924248200).

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

1045140600 is a wasteful number, since it uses less digits than its factorization.

1045140600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1045140600 is about 32328.6343664560. The cubic root of 1045140600 is about 1014.8259709559.

The spelling of 1045140600 in words is "one billion, forty-five million, one hundred forty thousand, six hundred".