100896228 has 18 divisors (see below), whose sum is σ = 255043334. Its totient is φ = 33632064.

The previous prime is 100896217. The next prime is 100896311. The reversal of 100896228 is 822698001.

It can be written as a sum of positive squares in only one way, i.e., 100160064 + 736164 = 10008^2 + 858^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2802673 = 100896228 / (1 + 0 + 0 + 8 + 9 + 6 + 2 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 100896192 and 100896201.

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, 1401301 + ... + 1401372.

Almost surely, 2^100896228 is an apocalyptic number.

100896228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100896228 is an abundant number, since it is smaller than the sum of its proper divisors (154147106).

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

100896228 is a wasteful number, since it uses less digits than its factorization.

100896228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802683 (or 2802678 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 100896228 is about 10044.7114443373. The cubic root of 100896228 is about 465.5414020030.

It can be divided in two parts, 100896 and 228, that added together give a square (101124 = 318²).

The spelling of 100896228 in words is "one hundred million, eight hundred ninety-six thousand, two hundred twenty-eight".