102089152 has 42 divisors (see below), whose sum is σ = 222690944. Its totient is φ = 46400640.

The previous prime is 102089149. The next prime is 102089153. The reversal of 102089152 is 251980201.

It is a self number, because there is not a number n which added to its sum of digits gives 102089152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102089153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1153 + ... + 14335.

Almost surely, 2^102089152 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 102089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111345472).

102089152 is an abundant number, since it is smaller than the sum of its proper divisors (120601792).

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

102089152 is a wasteful number, since it uses less digits than its factorization.

102089152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13217 (or 13196 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 102089152 is about 10103.9176560382. The cubic root of 102089152 is about 467.3689598127.

Subtracting 102089152 from its reverse (251980201), we obtain a square (149891049 = 12243²).

The spelling of 102089152 in words is "one hundred two million, eighty-nine thousand, one hundred fifty-two".