1057142524100 has 288 divisors, whose sum is σ = 2547326544000. Its totient is φ = 378413752320.

The previous prime is 1057142524049. The next prime is 1057142524117. The reversal of 1057142524100 is 14252417501.

It is a super-2 number, since 2×1057142524100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2441437484 + ... + 2441437916.

Almost surely, 2^{1057142524100} is an apocalyptic number.

1057142524100 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 1057142524100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273663272000).

1057142524100 is an abundant number, since it is smaller than the sum of its proper divisors (1490184019900).

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

1057142524100 is a wasteful number, since it uses less digits than its factorization.

1057142524100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The spelling of 1057142524100 in words is "one trillion, fifty-seven billion, one hundred forty-two million, five hundred twenty-four thousand, one hundred".