100848564 has 60 divisors (see below), whose sum is σ = 265534500. Its totient is φ = 33374592.

The previous prime is 100848563. The next prime is 100848571. The reversal of 100848564 is 465848001.

100848564 is a `hidden beast` number, since 10 + 0 + 84 + 8 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50296464 + 50552100 = 7092^2 + 7110^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100848563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47232 + ... + 49320.

It is an arithmetic number, because the mean of its divisors is an integer number (4425575).

Almost surely, 2^100848564 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 100848564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132767250).

100848564 is an abundant number, since it is smaller than the sum of its proper divisors (164685936).

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

100848564 is a wasteful number, since it uses less digits than its factorization.

100848564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 100848564 is about 10042.3385722649. The cubic root of 100848564 is about 465.4680822470.

The spelling of 100848564 in words is "one hundred million, eight hundred forty-eight thousand, five hundred sixty-four".