101792880 has 240 divisors, whose sum is σ = 411640320. Its totient is φ = 22021632.

The previous prime is 101792851. The next prime is 101792891. The reversal of 101792880 is 88297101.

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 (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95229 + ... + 96291.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 2^101792880 is an apocalyptic number.

101792880 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 101792880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205820160).

101792880 is an abundant number, since it is smaller than the sum of its proper divisors (309847440).

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

101792880 is a wasteful number, since it uses less digits than its factorization.

101792880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 101792880 is about 10089.2457597186. The cubic root of 101792880 is about 466.9164060093.

The spelling of 101792880 in words is "one hundred one million, seven hundred ninety-two thousand, eight hundred eighty".