101946880 has 80 divisors (see below), whose sum is σ = 279401760. Its totient is φ = 34947072.

The previous prime is 101946863. The next prime is 101946899. The reversal of 101946880 is 88649101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15076 + ... + 20764.

It is an arithmetic number, because the mean of its divisors is an integer number (3492522).

Almost surely, 2^101946880 is an apocalyptic number.

101946880 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 101946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139700880).

101946880 is an abundant number, since it is smaller than the sum of its proper divisors (177454880).

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

101946880 is an frugal number, since it uses more digits than its factorization.

101946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 101946880 is about 10096.8747640049. The cubic root of 101946880 is about 467.1517495676.

The spelling of 101946880 in words is "one hundred one million, nine hundred forty-six thousand, eight hundred eighty".