101102080 has 80 divisors (see below), whose sum is σ = 246182904. Its totient is φ = 39813120.

The previous prime is 101102063. The next prime is 101102081. The reversal of 101102080 is 80201101.

It can be written as a sum of positive squares in 4 ways, for example, as 79423744 + 21678336 = 8912^2 + 4656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 101102080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186610 + ... + 187150.

Almost surely, 2^101102080 is an apocalyptic number.

101102080 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 101102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123091452).

101102080 is an abundant number, since it is smaller than the sum of its proper divisors (145080824).

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

101102080 is an frugal number, since it uses more digits than its factorization.

101102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 101102080 is about 10054.9530083437. The cubic root of 101102080 is about 465.8577915274.

Adding to 101102080 its reverse (80201101), we get a palindrome (181303181).

The spelling of 101102080 in words is "one hundred one million, one hundred two thousand, eighty".