102089160 has 144 divisors (see below), whose sum is σ = 345419100. Its totient is φ = 27153792.

The previous prime is 102089159. The next prime is 102089167. The reversal of 102089160 is 61980201.

It can be written as a sum of positive squares in 2 ways, for example, as 97653924 + 4435236 = 9882^2 + 2106^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102089167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262246 + ... + 262634.

Almost surely, 2^102089160 is an apocalyptic number.

102089160 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 102089160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172709550).

102089160 is an abundant number, since it is smaller than the sum of its proper divisors (243329940).

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

102089160 is an frugal number, since it uses more digits than its factorization.

102089160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 399 counting only the distinct ones).

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

The square root of 102089160 is about 10103.9180519242. The cubic root of 102089160 is about 467.3689720208.

The spelling of 102089160 in words is "one hundred two million, eighty-nine thousand, one hundred sixty".