101690880 has 80 divisors (see below), whose sum is σ = 325117584. Its totient is φ = 27115520.

The previous prime is 101690863. The next prime is 101690909. The reversal of 101690880 is 88096101.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1060 + ... + 14300.

Almost surely, 2^101690880 is an apocalyptic number.

101690880 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 101690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162558792).

101690880 is an abundant number, since it is smaller than the sum of its proper divisors (223426704).

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

101690880 is an equidigital number, since it uses as much as digits as its factorization.

101690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13267 (or 13251 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 101690880 is about 10084.1896055162. The cubic root of 101690880 is about 466.7603984059.

The spelling of 101690880 in words is "one hundred one million, six hundred ninety thousand, eight hundred eighty".