1057633104 has 320 divisors, whose sum is σ = 3394068480. Its totient is φ = 279797760.

The previous prime is 1057633099. The next prime is 1057633133. The reversal of 1057633104 is 4013367501.

It is a super-2 number, since 2×1057633104² = 2237175565353349632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9703002 + ... + 9703110.

It is an arithmetic number, because the mean of its divisors is an integer number (10606464).

Almost surely, 2^1057633104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057633104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697034240).

1057633104 is an abundant number, since it is smaller than the sum of its proper divisors (2336435376).

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

1057633104 is a wasteful number, since it uses less digits than its factorization.

1057633104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 1057633104 is about 32521.2715618562. The cubic root of 1057633104 is about 1018.8533519847.

The spelling of 1057633104 in words is "one billion, fifty-seven million, six hundred thirty-three thousand, one hundred four".