10145104881600 has 504 divisors, whose sum is σ = 36087954343632. Its totient is φ = 2494051123200.

The previous prime is 10145104881589. The next prime is 10145104881601. The reversal of 10145104881600 is 618840154101.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145104881601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 665987584 + ... + 666002816.

Almost surely, 2^{10145104881600} is an apocalyptic number.

10145104881600 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 10145104881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18043977171816).

10145104881600 is an abundant number, since it is smaller than the sum of its proper divisors (25942849462032).

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

10145104881600 is a wasteful number, since it uses less digits than its factorization.

10145104881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16105 (or 16077 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The spelling of 10145104881600 in words is "ten trillion, one hundred forty-five billion, one hundred four million, eight hundred eighty-one thousand, six hundred".