101680920 has 224 divisors, whose sum is σ = 375379920. Its totient is φ = 24572160.

The previous prime is 101680889. The next prime is 101680933. The reversal of 101680920 is 29086101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 320602 + ... + 320918.

Almost surely, 2^101680920 is an apocalyptic number.

101680920 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 101680920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187689960).

101680920 is an abundant number, since it is smaller than the sum of its proper divisors (273699000).

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

101680920 is a wasteful number, since it uses less digits than its factorization.

101680920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101680920 is about 10083.6957510627. The cubic root of 101680920 is about 466.7451591326.

The spelling of 101680920 in words is "one hundred one million, six hundred eighty thousand, nine hundred twenty".