100432004640 has 192 divisors, whose sum is σ = 345491879040. Its totient is φ = 24320983040.

The previous prime is 100432004587. The next prime is 100432004657. The reversal of 100432004640 is 46400234001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100432004640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5148826 + ... + 5168294.

It is an arithmetic number, because the mean of its divisors is an integer number (1799436870).

Almost surely, 2^100432004640 is an apocalyptic number.

100432004640 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 100432004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172745939520).

100432004640 is an abundant number, since it is smaller than the sum of its proper divisors (245059874400).

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

100432004640 is a wasteful number, since it uses less digits than its factorization.

100432004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20475 (or 20467 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100432004640 its reverse (46400234001), we get a palindrome (146832238641).

The spelling of 100432004640 in words is "one hundred billion, four hundred thirty-two million, four thousand, six hundred forty".