1057419900 has 144 divisors (see below), whose sum is σ = 3431551200. Its totient is φ = 279313920.

The previous prime is 1057419887. The next prime is 1057419943. The reversal of 1057419900 is 99147501.

It is a super-2 number, since 2×1057419900² = 2236273689832020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292504 + ... + 296096.

Almost surely, 2^1057419900 is an apocalyptic number.

1057419900 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 1057419900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715775600).

1057419900 is an abundant number, since it is smaller than the sum of its proper divisors (2374131300).

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

1057419900 is a wasteful number, since it uses less digits than its factorization.

1057419900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1057419900 is about 32517.9934805332. The cubic root of 1057419900 is about 1018.7848852018.

The spelling of 1057419900 in words is "one billion, fifty-seven million, four hundred nineteen thousand, nine hundred".