100836864 has 120 divisors (see below), whose sum is σ = 295769760. Its totient is φ = 33067008.

The previous prime is 100836859. The next prime is 100836889. The reversal of 100836864 is 468638001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363894 + ... + 364170.

It is an arithmetic number, because the mean of its divisors is an integer number (2464748).

Almost surely, 2^100836864 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 100836864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147884880).

100836864 is an abundant number, since it is smaller than the sum of its proper divisors (194932896).

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

100836864 is an equidigital number, since it uses as much as digits as its factorization.

100836864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 100836864 is about 10041.7560217325. The cubic root of 100836864 is about 465.4500810415.

The spelling of 100836864 in words is "one hundred million, eight hundred thirty-six thousand, eight hundred sixty-four".