101284768 has 24 divisors (see below), whose sum is σ = 214744068. Its totient is φ = 46746624.

The previous prime is 101284751. The next prime is 101284783. The reversal of 101284768 is 867482101.

It can be written as a sum of positive squares in 2 ways, for example, as 101042704 + 242064 = 10052^2 + 492^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121321 + ... + 122152.

Almost surely, 2^101284768 is an apocalyptic number.

It is an amenable number.

101284768 is an abundant number, since it is smaller than the sum of its proper divisors (113459300).

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

101284768 is a wasteful number, since it uses less digits than its factorization.

101284768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243496 (or 243488 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 101284768 is about 10064.0333862721. The cubic root of 101284768 is about 466.1382190518.

The spelling of 101284768 in words is "one hundred one million, two hundred eighty-four thousand, seven hundred sixty-eight".