1023360100 has 81 divisors (see below), whose sum is σ = 2588918283. Its totient is φ = 350098560.

The previous prime is 1023360059. The next prime is 1023360113. The reversal of 1023360100 is 10633201.

The square root of 1023360100 is 31990.

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 71267364 + 952092736 = 8442^2 + 30856^2 .

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 26 ways as a sum of consecutive naturals, for example, 2239072 + ... + 2239528.

Almost surely, 2^1023360100 is an apocalyptic number.

1023360100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023360100 is the 31990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023360100

1023360100 is an abundant number, since it is smaller than the sum of its proper divisors (1565558183).

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

1023360100 is an equidigital number, since it uses as much as digits as its factorization.

1023360100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The cubic root of 1023360100 is about 1007.7268421359.

Multiplying 1023360100 by its sum of digits (16), we get a square (16373761600 = 127960²).

Adding to 1023360100 its reverse (10633201), we get a palindrome (1033993301).

The spelling of 1023360100 in words is "one billion, twenty-three million, three hundred sixty thousand, one hundred".