1300850100 has 432 divisors, whose sum is σ = 4825941120. Its totient is φ = 289766400.

The previous prime is 1300850093. The next prime is 1300850171. The reversal of 1300850100 is 10580031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6603202 + ... + 6603398.

It is an arithmetic number, because the mean of its divisors is an integer number (11171160).

Almost surely, 2^1300850100 is an apocalyptic number.

1300850100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300850100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412970560).

1300850100 is an abundant number, since it is smaller than the sum of its proper divisors (3525091020).

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

1300850100 is a wasteful number, since it uses less digits than its factorization.

1300850100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1300850100 is about 36067.2995939535. The cubic root of 1300850100 is about 1091.6307268889.

The spelling of 1300850100 in words is "one billion, three hundred million, eight hundred fifty thousand, one hundred".