101681910 has 96 divisors (see below), whose sum is σ = 290234880. Its totient is φ = 24494400.

The previous prime is 101681903. The next prime is 101681911. The reversal of 101681910 is 19186101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101681911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268101 + ... + 268479.

It is an arithmetic number, because the mean of its divisors is an integer number (3023280).

Almost surely, 2^101681910 is an apocalyptic number.

101681910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101681910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145117440).

101681910 is an abundant number, since it is smaller than the sum of its proper divisors (188552970).

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

101681910 is a wasteful number, since it uses less digits than its factorization.

101681910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 101681910 is about 10083.7448400879. The cubic root of 101681910 is about 466.7466739242.

The spelling of 101681910 in words is "one hundred one million, six hundred eighty-one thousand, nine hundred ten".