102167424 has 96 divisors (see below), whose sum is σ = 296679240. Its totient is φ = 33745920.

The previous prime is 102167423. The next prime is 102167437. The reversal of 102167424 is 424761201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102167423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150574 + ... + 151250.

Almost surely, 2^102167424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102167424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148339620).

102167424 is an abundant number, since it is smaller than the sum of its proper divisors (194511816).

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

102167424 is a wasteful number, since it uses less digits than its factorization.

102167424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 102167424 is about 10107.7902629605. The cubic root of 102167424 is about 467.4883736039.

The spelling of 102167424 in words is "one hundred two million, one hundred sixty-seven thousand, four hundred twenty-four".