102055968 has 288 divisors, whose sum is σ = 362299392. Its totient is φ = 26611200.

The previous prime is 102055963. The next prime is 102055969. The reversal of 102055968 is 869550201.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102055963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1437373 + ... + 1437443.

It is an arithmetic number, because the mean of its divisors is an integer number (1257984).

Almost surely, 2^102055968 is an apocalyptic number.

102055968 is a gapful number since it is divisible by the number (18) 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 102055968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181149696).

102055968 is an abundant number, since it is smaller than the sum of its proper divisors (260243424).

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

102055968 is a wasteful number, since it uses less digits than its factorization.

102055968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 102055968 is about 10102.2753872581. The cubic root of 102055968 is about 467.3183150185.

The spelling of 102055968 in words is "one hundred two million, fifty-five thousand, nine hundred sixty-eight".