101080080 has 240 divisors, whose sum is σ = 362119680. Its totient is φ = 25224192.

The previous prime is 101080069. The next prime is 101080087. The reversal of 101080080 is 80080101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101080087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981309 + ... + 981411.

It is an arithmetic number, because the mean of its divisors is an integer number (1508832).

Almost surely, 2^101080080 is an apocalyptic number.

101080080 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 101080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).

101080080 is an abundant number, since it is smaller than the sum of its proper divisors (261039600).

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

101080080 is a wasteful number, since it uses less digits than its factorization.

101080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 101080080 is about 10053.8589606181. The cubic root of 101080080 is about 465.8239985698.

The spelling of 101080080 in words is "one hundred one million, eighty thousand, eighty".