101478304 has 36 divisors (see below), whose sum is σ = 212248134. Its totient is φ = 47750144.

The previous prime is 101478301. The next prime is 101478317. The reversal of 101478304 is 403874101.

It can be written as a sum of positive squares in 3 ways, for example, as 101042704 + 435600 = 10052^2 + 660^2 .

It is not an unprimeable number, because it can be changed into a prime (101478301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3762 + ... + 14734.

Almost surely, 2^101478304 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 101478304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106124067).

101478304 is an abundant number, since it is smaller than the sum of its proper divisors (110769830).

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

101478304 is a wasteful number, since it uses less digits than its factorization.

101478304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11017 (or 10992 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 101478304 is about 10073.6440278580. The cubic root of 101478304 is about 466.4349307493.

The spelling of 101478304 in words is "one hundred one million, four hundred seventy-eight thousand, three hundred four".