102163600 has 240 divisors, whose sum is σ = 318836736. Its totient is φ = 30528000.

The previous prime is 102163597. The next prime is 102163603. The reversal of 102163600 is 6361201.

It is an interprime number because it is at equal distance from previous prime (102163597) and next prime (102163603).

It is not an unprimeable number, because it can be changed into a prime (102163603) 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 47 ways as a sum of consecutive naturals, for example, 954747 + ... + 954853.

Almost surely, 2^102163600 is an apocalyptic number.

102163600 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 102163600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159418368).

102163600 is an abundant number, since it is smaller than the sum of its proper divisors (216673136).

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

102163600 is a wasteful number, since it uses less digits than its factorization.

102163600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 102163600 is about 10107.6011001622. The cubic root of 102163600 is about 467.4825410278.

The spelling of 102163600 in words is "one hundred two million, one hundred sixty-three thousand, six hundred".