103060260900 has 567 divisors, whose sum is σ = 355945353673. Its totient is φ = 25887859200.

The previous prime is 103060260881. The next prime is 103060260977. The reversal of 103060260900 is 9062060301.

It is a happy number.

The square root of 103060260900 is 321030.

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

103060260900 is a `hidden beast` number, since 10 + 306 + 0 + 260 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 101953767204 + 1106493696 = 319302^2 + 33264^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2513664880 + ... + 2513664920.

Almost surely, 2^103060260900 is an apocalyptic number.

103060260900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103060260900 is the 321030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103060260900

103060260900 is an abundant number, since it is smaller than the sum of its proper divisors (252885092773).

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

103060260900 is an equidigital number, since it uses as much as digits as its factorization.

103060260900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 103060260900 in words is "one hundred three billion, sixty million, two hundred sixty thousand, nine hundred".