1031707432900 has 27 divisors (see below), whose sum is σ = 2238827170951. Its totient is φ = 412678910240.

The previous prime is 1031707432879. The next prime is 1031707432927. The reversal of 1031707432900 is 92347071301.

It is a happy number.

The square root of 1031707432900 is 1015730.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6818465476 + 1024888967424 = 82574^2 + 1012368^2 .

It is a super-2 number, since 2×1031707432900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1031707432900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10106514 + ... + 10208086.

Almost surely, 2^{1031707432900} is an apocalyptic number.

1031707432900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1031707432900 is the 1015730-th square number.

It is an amenable number.

1031707432900 is an abundant number, since it is smaller than the sum of its proper divisors (1207119738051).

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

1031707432900 is an frugal number, since it uses more digits than its factorization.

1031707432900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203160 (or 101580 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 1031707432900 in words is "one trillion, thirty-one billion, seven hundred seven million, four hundred thirty-two thousand, nine hundred".