101381680 has 80 divisors (see below), whose sum is σ = 247082400. Its totient is φ = 38635520.

The previous prime is 101381671. The next prime is 101381689. The reversal of 101381680 is 86183101.

It is a happy number.

101381680 is a nontrivial binomial coefficient, being equal to C(14240, 2).

It is an interprime number because it is at equal distance from previous prime (101381671) and next prime (101381689).

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

It is not an unprimeable number, because it can be changed into a prime (101381689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206235 + ... + 206725.

It is an arithmetic number, because the mean of its divisors is an integer number (3088530).

Almost surely, 2^101381680 is an apocalyptic number.

101381680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101381680 is the 14239-th triangular number and also the 7120-th hexagonal number.

101381680 is the 4747-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101381680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123541200).

101381680 is an abundant number, since it is smaller than the sum of its proper divisors (145700720).

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

101381680 is a wasteful number, since it uses less digits than its factorization.

101381680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 101381680 is about 10068.8470044986. The cubic root of 101381680 is about 466.2868428696.

The spelling of 101381680 in words is "one hundred one million, three hundred eighty-one thousand, six hundred eighty".