10245416631300 has 216 divisors, whose sum is σ = 33055220330496. Its totient is φ = 2652924718080.

The previous prime is 10245416631283. The next prime is 10245416631323. The reversal of 10245416631300 is 313661454201.

10245416631300 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 5 + 4 + 16 + 631 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 4418524 + ... + 6325676.

It is an arithmetic number, because the mean of its divisors is an integer number (153033427456).

Almost surely, 2^{10245416631300} is an apocalyptic number.

10245416631300 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 10245416631300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16527610165248).

10245416631300 is an abundant number, since it is smaller than the sum of its proper divisors (22809803699196).

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

10245416631300 is a wasteful number, since it uses less digits than its factorization.

10245416631300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907347 (or 1907337 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10245416631300 in words is "ten trillion, two hundred forty-five billion, four hundred sixteen million, six hundred thirty-one thousand, three hundred".