101983680 has 168 divisors, whose sum is σ = 371593872. Its totient is φ = 25583616.

The previous prime is 101983657. The next prime is 101983703. The reversal of 101983680 is 86389101.

It is an interprime number because it is at equal distance from previous prime (101983657) and next prime (101983703).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47919 + ... + 50001.

Almost surely, 2^101983680 is an apocalyptic number.

101983680 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 101983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185796936).

101983680 is an abundant number, since it is smaller than the sum of its proper divisors (269610192).

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

101983680 is a wasteful number, since it uses less digits than its factorization.

101983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 101983680 is about 10098.6969456460. The cubic root of 101983680 is about 467.2079524198.

The spelling of 101983680 in words is "one hundred one million, nine hundred eighty-three thousand, six hundred eighty".