100305523840 has 128 divisors (see below), whose sum is σ = 241384550400. Its totient is φ = 39856914432.

The previous prime is 100305523817. The next prime is 100305523841. The reversal of 100305523840 is 48325503001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×100305523840² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100305523841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78424321 + ... + 78425599.

It is an arithmetic number, because the mean of its divisors is an integer number (1885816800).

Almost surely, 2^100305523840 is an apocalyptic number.

100305523840 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 100305523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120692275200).

100305523840 is an abundant number, since it is smaller than the sum of its proper divisors (141079026560).

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

100305523840 is a wasteful number, since it uses less digits than its factorization.

100305523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 100305523840 in words is "one hundred billion, three hundred five million, five hundred twenty-three thousand, eight hundred forty".