102849120 has 288 divisors, whose sum is σ = 394377984. Its totient is φ = 24192000.

The previous prime is 102849083. The next prime is 102849127. The reversal of 102849120 is 21948201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102849127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681045 + ... + 681195.

It is an arithmetic number, because the mean of its divisors is an integer number (1369368).

Almost surely, 2^102849120 is an apocalyptic number.

102849120 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 102849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197188992).

102849120 is an abundant number, since it is smaller than the sum of its proper divisors (291528864).

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

102849120 is a wasteful number, since it uses less digits than its factorization.

102849120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

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

The square root of 102849120 is about 10141.4555168378. The cubic root of 102849120 is about 468.5258170667.

The spelling of 102849120 in words is "one hundred two million, eight hundred forty-nine thousand, one hundred twenty".