102162016 has 24 divisors (see below), whose sum is σ = 219416904. Its totient is φ = 46437120.

The previous prime is 102162001. The next prime is 102162017. The reversal of 102162016 is 610261201.

It is a junction number, because it is equal to n+sod(n) for n = 102161984 and 102162002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102162017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144765 + ... + 145468.

It is an arithmetic number, because the mean of its divisors is an integer number (9142371).

Almost surely, 2^102162016 is an apocalyptic number.

102162016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102162016 is an abundant number, since it is smaller than the sum of its proper divisors (117254888).

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

102162016 is a wasteful number, since it uses less digits than its factorization.

102162016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290254 (or 290246 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 102162016 is about 10107.5227429870. The cubic root of 102162016 is about 467.4801249808.

The spelling of 102162016 in words is "one hundred two million, one hundred sixty-two thousand, sixteen".