100606648968 has 256 divisors, whose sum is σ = 330835968000. Its totient is φ = 27716919552.

The previous prime is 100606648943. The next prime is 100606649021. The reversal of 100606648968 is 869846606001.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 65201205 + ... + 65202747.

It is an arithmetic number, because the mean of its divisors is an integer number (1292328000).

Almost surely, 2^100606648968 is an apocalyptic number.

100606648968 is a gapful number since it is divisible by the number (18) 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 100606648968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165417984000).

100606648968 is an abundant number, since it is smaller than the sum of its proper divisors (230229319032).

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

100606648968 is a wasteful number, since it uses less digits than its factorization.

100606648968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 100606648968 in words is "one hundred billion, six hundred six million, six hundred forty-eight thousand, nine hundred sixty-eight".