102161024 has 128 divisors (see below), whose sum is σ = 259977600. Its totient is φ = 38928384.

The previous prime is 102161023. The next prime is 102161029. The reversal of 102161024 is 420161201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 102160993 and 102161011.

It is not an unprimeable number, because it can be changed into a prime (102161023) 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 15 ways as a sum of consecutive naturals, for example, 289232 + ... + 289584.

It is an arithmetic number, because the mean of its divisors is an integer number (2031075).

Almost surely, 2^102161024 is an apocalyptic number.

102161024 is a gapful number since it is divisible by the number (14) 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 102161024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129988800).

102161024 is an abundant number, since it is smaller than the sum of its proper divisors (157816576).

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

102161024 is a wasteful number, since it uses less digits than its factorization.

102161024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 102161024 is about 10107.4736705074. The cubic root of 102161024 is about 467.4786118881.

The spelling of 102161024 in words is "one hundred two million, one hundred sixty-one thousand, twenty-four".