101086080 has 256 divisors, whose sum is σ = 361324800. Its totient is φ = 23887872.

The previous prime is 101086039. The next prime is 101086121. The reversal of 101086080 is 80680101.

It is an interprime number because it is at equal distance from previous prime (101086039) and next prime (101086121).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101086080.

It is a congruent number.

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, 620079 + ... + 620241.

It is an arithmetic number, because the mean of its divisors is an integer number (1411425).

Almost surely, 2^101086080 is an apocalyptic number.

101086080 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 101086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180662400).

101086080 is an abundant number, since it is smaller than the sum of its proper divisors (260238720).

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

101086080 is a wasteful number, since it uses less digits than its factorization.

101086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 101086080 is about 10054.1573490770. The cubic root of 101086080 is about 465.8332153172.

The spelling of 101086080 in words is "one hundred one million, eighty-six thousand, eighty".