101684160 has 140 divisors (see below), whose sum is σ = 361800648. Its totient is φ = 27108864.

The previous prime is 101684159. The next prime is 101684161. The reversal of 101684160 is 61486101.

It is an interprime number because it is at equal distance from previous prime (101684159) and next prime (101684161).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101684161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23959 + ... + 27881.

Almost surely, 2^101684160 is an apocalyptic number.

101684160 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 101684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180900324).

101684160 is an abundant number, since it is smaller than the sum of its proper divisors (260116488).

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

101684160 is an equidigital number, since it uses as much as digits as its factorization.

101684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101684160 is about 10083.8564051656. The cubic root of 101684160 is about 466.7501165958.

The spelling of 101684160 in words is "one hundred one million, six hundred eighty-four thousand, one hundred sixty".