100432707840 has 288 divisors, whose sum is σ = 365094374400. Its totient is φ = 26128465920.

The previous prime is 100432707827. The next prime is 100432707847. The reversal of 100432707840 is 48707234001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 100432707795 and 100432707804.

It is not an unprimeable number, because it can be changed into a prime (100432707847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1381521 + ... + 1452399.

It is an arithmetic number, because the mean of its divisors is an integer number (1267688800).

Almost surely, 2^100432707840 is an apocalyptic number.

100432707840 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 100432707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182547187200).

100432707840 is an abundant number, since it is smaller than the sum of its proper divisors (264661666560).

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

100432707840 is an equidigital number, since it uses as much as digits as its factorization.

100432707840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70950 (or 70930 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 100432707840 in words is "one hundred billion, four hundred thirty-two million, seven hundred seven thousand, eight hundred forty".