100682048 has 42 divisors (see below), whose sum is σ = 206569818. Its totient is φ = 48687360.

The previous prime is 100682027. The next prime is 100682077. The reversal of 100682048 is 840286001.

It can be written as a sum of positive squares in only one way, i.e., 59105344 + 41576704 = 7688^2 + 6448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100682048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60686 + ... + 62322.

It is an arithmetic number, because the mean of its divisors is an integer number (4918329).

Almost surely, 2^100682048 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 100682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103284909).

100682048 is an abundant number, since it is smaller than the sum of its proper divisors (105887770).

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

100682048 is an equidigital number, since it uses as much as digits as its factorization.

100682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 100682048 is about 10034.0444487754. The cubic root of 100682048 is about 465.2117554063.

The spelling of 100682048 in words is "one hundred million, six hundred eighty-two thousand, forty-eight".