102166848 has 84 divisors (see below), whose sum is σ = 334690720. Its totient is φ = 29189376.

The previous prime is 102166847. The next prime is 102166849. The reversal of 102166848 is 848661201.

It is an interprime number because it is at equal distance from previous prime (102166847) and next prime (102166849).

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102166847) 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 11 ways as a sum of consecutive naturals, for example, 8638 + ... + 16701.

Almost surely, 2^102166848 is an apocalyptic number.

102166848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102166848 is an abundant number, since it is smaller than the sum of its proper divisors (232523872).

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

102166848 is a wasteful number, since it uses less digits than its factorization.

102166848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25364 (or 25351 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 102166848 is about 10107.7617700458. The cubic root of 102166848 is about 467.4874950662.

The spelling of 102166848 in words is "one hundred two million, one hundred sixty-six thousand, eight hundred forty-eight".