100785648 has 80 divisors (see below), whose sum is σ = 267973920. Its totient is φ = 32627712.

The previous prime is 100785637. The next prime is 100785649. The reversal of 100785648 is 846587001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100785649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439998 + ... + 440226.

It is an arithmetic number, because the mean of its divisors is an integer number (3349674).

Almost surely, 2^100785648 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 100785648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133986960).

100785648 is an abundant number, since it is smaller than the sum of its proper divisors (167188272).

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

100785648 is a wasteful number, since it uses less digits than its factorization.

100785648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 100785648 is about 10039.2055462571. The cubic root of 100785648 is about 465.3712655254.

The spelling of 100785648 in words is "one hundred million, seven hundred eighty-five thousand, six hundred forty-eight".