1072695204100 has 243 divisors, whose sum is σ = 2614685456061. Its totient is φ = 381804134400.

The previous prime is 1072695204067. The next prime is 1072695204103. The reversal of 1072695204100 is 14025962701.

The square root of 1072695204100 is 1035710.

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

1072695204100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 400478871556 + 672216332544 = 632834^2 + 819888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1072695204100.

It is not an unprimeable number, because it can be changed into a prime (1072695204103) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4173911172 + ... + 4173911428.

Almost surely, 2^{1072695204100} is an apocalyptic number.

1072695204100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1072695204100 is the 1035710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072695204100

1072695204100 is an abundant number, since it is smaller than the sum of its proper divisors (1541990251961).

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

1072695204100 is a wasteful number, since it uses less digits than its factorization.

1072695204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 1072695204100 in words is "one trillion, seventy-two billion, six hundred ninety-five million, two hundred four thousand, one hundred".