100412845041600 has 5040 divisors, whose sum is σ = 485089043552256. Its totient is φ = 19913527296000.

The previous prime is 100412845041529. The next prime is 100412845041667. The reversal of 100412845041600 is 6140548214001.

100412845041600 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 2 + 8 + 4 + 5 + 0 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 175854369315 + ... + 175854369885.

Almost surely, 2^{100412845041600} is an apocalyptic number.

100412845041600 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 100412845041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242544521776128).

100412845041600 is an abundant number, since it is smaller than the sum of its proper divisors (384676198510656).

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

100412845041600 is a wasteful number, since it uses less digits than its factorization.

100412845041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 100412845041600 in words is "one hundred trillion, four hundred twelve billion, eight hundred forty-five million, forty-one thousand, six hundred".