100365632640 has 1536 divisors, whose sum is σ = 449706216960. Its totient is φ = 20065812480.

The previous prime is 100365632621. The next prime is 100365632641. The reversal of 100365632640 is 46236563001.

100365632640 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 6 + 5 + 6 + 3 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100365632595 and 100365632604.

It is not an unprimeable number, because it can be changed into a prime (100365632641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1374871644 + ... + 1374871716.

It is an arithmetic number, because the mean of its divisors is an integer number (292777485).

Almost surely, 2^100365632640 is an apocalyptic number.

100365632640 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 100365632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224853108480).

100365632640 is an abundant number, since it is smaller than the sum of its proper divisors (349340584320).

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

100365632640 is a wasteful number, since it uses less digits than its factorization.

100365632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 100365632640 in words is "one hundred billion, three hundred sixty-five million, six hundred thirty-two thousand, six hundred forty".