101891680 has 144 divisors (see below), whose sum is σ = 279523440. Its totient is φ = 34974720.

The previous prime is 101891677. The next prime is 101891687. The reversal of 101891680 is 86198101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101891687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367702 + ... + 367978.

It is an arithmetic number, because the mean of its divisors is an integer number (1941135).

Almost surely, 2^101891680 is an apocalyptic number.

101891680 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 101891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139761720).

101891680 is an abundant number, since it is smaller than the sum of its proper divisors (177631760).

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

101891680 is a wasteful number, since it uses less digits than its factorization.

101891680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 34.

The square root of 101891680 is about 10094.1408747847. The cubic root of 101891680 is about 467.0674199242.

The spelling of 101891680 in words is "one hundred one million, eight hundred ninety-one thousand, six hundred eighty".