102271680 has 448 divisors, whose sum is σ = 438912000. Its totient is φ = 21897216.

The previous prime is 102271679. The next prime is 102271717. The reversal of 102271680 is 86172201.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1149076 + ... + 1149164.

Almost surely, 2^102271680 is an apocalyptic number.

102271680 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 102271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219456000).

102271680 is an abundant number, since it is smaller than the sum of its proper divisors (336640320).

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

102271680 is a wasteful number, since it uses less digits than its factorization.

102271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 102271680 is about 10112.9461582666. The cubic root of 102271680 is about 467.6473345757.

The spelling of 102271680 in words is "one hundred two million, two hundred seventy-one thousand, six hundred eighty".