102114432 has 288 divisors, whose sum is σ = 359770320. Its totient is φ = 28740096.

The previous prime is 102114391. The next prime is 102114433. The reversal of 102114432 is 234411201.

102114432 is a `hidden beast` number, since 10 + 211 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102114433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1524063 + ... + 1524129.

Almost surely, 2^102114432 is an apocalyptic number.

102114432 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 102114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179885160).

102114432 is an abundant number, since it is smaller than the sum of its proper divisors (257655888).

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

102114432 is an frugal number, since it uses more digits than its factorization.

102114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102114432 is about 10105.1685785048. The cubic root of 102114432 is about 467.4075343068.

Adding to 102114432 its reverse (234411201), we get a palindrome (336525633).

The spelling of 102114432 in words is "one hundred two million, one hundred fourteen thousand, four hundred thirty-two".