101350080 has 168 divisors, whose sum is σ = 375556272. Its totient is φ = 24938496.

The previous prime is 101350069. The next prime is 101350087. The reversal of 101350080 is 80053101.

It is a happy number.

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 (101350087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36087 + ... + 38793.

It is an arithmetic number, because the mean of its divisors is an integer number (2235454).

Almost surely, 2^101350080 is an apocalyptic number.

101350080 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 101350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187778136).

101350080 is an abundant number, since it is smaller than the sum of its proper divisors (274206192).

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

101350080 is a wasteful number, since it uses less digits than its factorization.

101350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101350080 is about 10067.2776856507. The cubic root of 101350080 is about 466.2383916590.

The spelling of 101350080 in words is "one hundred one million, three hundred fifty thousand, eighty".