102018432 has 64 divisors (see below), whose sum is σ = 282792960. Its totient is φ = 32524800.

The previous prime is 102018419. The next prime is 102018437. The reversal of 102018432 is 234810201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 102018399 and 102018408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102018437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3057 + ... + 14607.

It is an arithmetic number, because the mean of its divisors is an integer number (4418640).

Almost surely, 2^102018432 is an apocalyptic number.

102018432 is a gapful number since it is divisible by the number (12) 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 102018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141396480).

102018432 is an abundant number, since it is smaller than the sum of its proper divisors (180774528).

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

102018432 is a wasteful number, since it uses less digits than its factorization.

102018432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11591 (or 11579 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 102018432 is about 10100.4174171170. The cubic root of 102018432 is about 467.2610150500.

Adding to 102018432 its reverse (234810201), we get a palindrome (336828633).

The spelling of 102018432 in words is "one hundred two million, eighteen thousand, four hundred thirty-two".