101192080 has 80 divisors (see below), whose sum is σ = 261144000. Its totient is φ = 36154880.

The previous prime is 101192071. The next prime is 101192087. The reversal of 101192080 is 80291101.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101192087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50946 + ... + 52894.

It is an arithmetic number, because the mean of its divisors is an integer number (3264300).

Almost surely, 2^101192080 is an apocalyptic number.

101192080 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 101192080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130572000).

101192080 is an abundant number, since it is smaller than the sum of its proper divisors (159951920).

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

101192080 is a wasteful number, since it uses less digits than its factorization.

101192080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 101192080 is about 10059.4274190930. The cubic root of 101192080 is about 465.9959844190.

The spelling of 101192080 in words is "one hundred one million, one hundred ninety-two thousand, eighty".