100846433152 has 64 divisors (see below), whose sum is σ = 213532675200. Its totient is φ = 47305465344.

The previous prime is 100846433137. The next prime is 100846433153. The reversal of 100846433152 is 251334648001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100846433153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49203 + ... + 451789.

It is an arithmetic number, because the mean of its divisors is an integer number (3336448050).

Almost surely, 2^100846433152 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 100846433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106766337600).

100846433152 is an abundant number, since it is smaller than the sum of its proper divisors (112686242048).

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

100846433152 is a wasteful number, since it uses less digits than its factorization.

100846433152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402723 (or 402711 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 100846433152 in words is "one hundred billion, eight hundred forty-six million, four hundred thirty-three thousand, one hundred fifty-two".