2301106963600 has 135 divisors (see below), whose sum is σ = 5610578510763. Its totient is φ = 906960222720.

The previous prime is 2301106963579. The next prime is 2301106963627. The reversal of 2301106963600 is 63696011032.

The square root of 2301106963600 is 1516940.

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 12591532944 + 2288515430656 = 112212^2 + 1512784^2 .

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 2301106963600.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2214731881 + ... + 2214732919.

Almost surely, 2^{2301106963600} is an apocalyptic number.

2301106963600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2301106963600 is the 1516940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301106963600

2301106963600 is an abundant number, since it is smaller than the sum of its proper divisors (3309471547163).

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

2301106963600 is an frugal number, since it uses more digits than its factorization.

2301106963600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 2301106963600 in words is "two trillion, three hundred one billion, one hundred six million, nine hundred sixty-three thousand, six hundred".