100980867240 has 384 divisors, whose sum is σ = 370720022400. Its totient is φ = 24247526400.

The previous prime is 100980867173. The next prime is 100980867269. The reversal of 100980867240 is 42768089001.

100980867240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 433394164 + ... + 433394396.

It is an arithmetic number, because the mean of its divisors is an integer number (965416725).

Almost surely, 2^100980867240 is an apocalyptic number.

100980867240 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 100980867240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185360011200).

100980867240 is an abundant number, since it is smaller than the sum of its proper divisors (269739155160).

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

100980867240 is a wasteful number, since it uses less digits than its factorization.

100980867240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 100980867240 in words is "one hundred billion, nine hundred eighty million, eight hundred sixty-seven thousand, two hundred forty".