100861908480 has 320 divisors, whose sum is σ = 379349023680. Its totient is φ = 25314066432.

The previous prime is 100861908479. The next prime is 100861908527. The reversal of 100861908480 is 84809168001.

100861908480 is a `hidden beast` number, since 1 + 0 + 0 + 86 + 1 + 90 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1132122 + ... + 1217958.

It is an arithmetic number, because the mean of its divisors is an integer number (1185465699).

Almost surely, 2^100861908480 is an apocalyptic number.

100861908480 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 100861908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189674511840).

100861908480 is an abundant number, since it is smaller than the sum of its proper divisors (278487115200).

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

100861908480 is an equidigital number, since it uses as much as digits as its factorization.

100861908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85886 (or 85864 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 100861908480 in words is "one hundred billion, eight hundred sixty-one million, nine hundred eight thousand, four hundred eighty".