1057435100 has 72 divisors (see below), whose sum is σ = 2360526000. Its totient is φ = 410918400.

The previous prime is 1057435039. The next prime is 1057435109. The reversal of 1057435100 is 15347501.

It is a super-2 number, since 2×1057435100² = 2236337981424020000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057435100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057435109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430531 + ... + 1431269.

Almost surely, 2^1057435100 is an apocalyptic number.

1057435100 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 1057435100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180263000).

1057435100 is an abundant number, since it is smaller than the sum of its proper divisors (1303090900).

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

1057435100 is a wasteful number, since it uses less digits than its factorization.

1057435100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 1057435100 is about 32518.2271964509. The cubic root of 1057435100 is about 1018.7897667240.

The spelling of 1057435100 in words is "one billion, fifty-seven million, four hundred thirty-five thousand, one hundred".