100663352240 has 80 divisors (see below), whose sum is σ = 255636272160. Its totient is φ = 36559349760.

The previous prime is 100663352239. The next prime is 100663352243. The reversal of 100663352240 is 42253366001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100663352240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100663352197 and 100663352206.

It is not an unprimeable number, because it can be changed into a prime (100663352243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641222 + ... + 782618.

It is an arithmetic number, because the mean of its divisors is an integer number (3195453402).

Almost surely, 2^100663352240 is an apocalyptic number.

100663352240 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 100663352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127818136080).

100663352240 is an abundant number, since it is smaller than the sum of its proper divisors (154972919920).

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

100663352240 is a wasteful number, since it uses less digits than its factorization.

100663352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142230 (or 142224 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 100663352240 in words is "one hundred billion, six hundred sixty-three million, three hundred fifty-two thousand, two hundred forty".