100661028 has 48 divisors (see below), whose sum is σ = 258343680. Its totient is φ = 30311424.

The previous prime is 100661017. The next prime is 100661039. The reversal of 100661028 is 820166001.

It is an interprime number because it is at equal distance from previous prime (100661017) and next prime (100661039).

It is a junction number, because it is equal to n+sod(n) for n = 100660989 and 100661007.

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 15 ways as a sum of consecutive naturals, for example, 468 + ... + 14196.

It is an arithmetic number, because the mean of its divisors is an integer number (5382160).

Almost surely, 2^100661028 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 100661028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129171840).

100661028 is an abundant number, since it is smaller than the sum of its proper divisors (157682652).

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

100661028 is a wasteful number, since it uses less digits than its factorization.

100661028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13796 (or 13794 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 100661028 is about 10032.9969600314. The cubic root of 100661028 is about 465.1793781293.

The spelling of 100661028 in words is "one hundred million, six hundred sixty-one thousand, twenty-eight".