1070542008900 has 729 divisors, whose sum is σ = 4237940486871. Its totient is φ = 225276629760.

The previous prime is 1070542008871. The next prime is 1070542008901. The reversal of 1070542008900 is 98002450701.

The square root of 1070542008900 is 1034670.

It is a perfect power (a square), and thus also a powerful number.

1070542008900 is a `hidden beast` number, since 107 + 0 + 542 + 0 + 0 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 275933786436 + 794608222464 = 525294^2 + 891408^2 .

It is a super-2 number, since 2×1070542008900² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1070542008901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2824648911 + ... + 2824649289.

Almost surely, 2^{1070542008900} is an apocalyptic number.

1070542008900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1070542008900 is the 1034670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070542008900

1070542008900 is an abundant number, since it is smaller than the sum of its proper divisors (3167398477971).

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

1070542008900 is a wasteful number, since it uses less digits than its factorization.

1070542008900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 1070542008900 by its sum of digits (36), we get a square (38539512320400 = 6208020²).

1070542008900 divided by its sum of digits (36) gives a square (29737278025 = 172445²).

The spelling of 1070542008900 in words is "one trillion, seventy billion, five hundred forty-two million, eight thousand, nine hundred".