100541823403008 has 352 divisors, whose sum is σ = 292648981234176. Its totient is φ = 30501620416512.

The previous prime is 100541823402971. The next prime is 100541823403027. The reversal of 100541823403008 is 800304328145001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14410462816 + ... + 14410469792.

Almost surely, 2^{100541823403008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100541823403008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146324490617088).

100541823403008 is an abundant number, since it is smaller than the sum of its proper divisors (192107157831168).

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

100541823403008 is a wasteful number, since it uses less digits than its factorization.

100541823403008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12029 (or 12011 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 100541823403008 in words is "one hundred trillion, five hundred forty-one billion, eight hundred twenty-three million, four hundred three thousand, eight".