100536480 has 216 divisors, whose sum is σ = 377758836. Its totient is φ = 24330240.

The previous prime is 100536463. The next prime is 100536481. The reversal of 100536480 is 84635001.

100536480 is a `hidden beast` number, since 10 + 0 + 5 + 3 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92852496 + 7683984 = 9636^2 + 2772^2 .

It is not an unprimeable number, because it can be changed into a prime (100536481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173952 + ... + 174528.

Almost surely, 2^100536480 is an apocalyptic number.

100536480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188879418).

100536480 is an abundant number, since it is smaller than the sum of its proper divisors (277222356).

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

100536480 is a wasteful number, since it uses less digits than its factorization.

100536480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100536480 is about 10026.7881198318. The cubic root of 100536480 is about 464.9874432960.

The spelling of 100536480 in words is "one hundred million, five hundred thirty-six thousand, four hundred eighty".