102205152 has 240 divisors, whose sum is σ = 354195072. Its totient is φ = 28304640.

The previous prime is 102205141. The next prime is 102205153. The reversal of 102205152 is 251502201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102205153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 780127 + ... + 780257.

Almost surely, 2^102205152 is an apocalyptic number.

102205152 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 102205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177097536).

102205152 is an abundant number, since it is smaller than the sum of its proper divisors (251989920).

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

102205152 is a wasteful number, since it uses less digits than its factorization.

102205152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 102205152 is about 10109.6563739823. The cubic root of 102205152 is about 467.5459106351.

Adding to 102205152 its reverse (251502201), we get a palindrome (353707353).

The spelling of 102205152 in words is "one hundred two million, two hundred five thousand, one hundred fifty-two".