102152960 has 144 divisors (see below), whose sum is σ = 301498176. Its totient is φ = 32292864.

The previous prime is 102152929. The next prime is 102152969. The reversal of 102152960 is 69251201.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102152969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116042 + ... + 116918.

Almost surely, 2^102152960 is an apocalyptic number.

102152960 is a gapful number since it is divisible by the number (10) 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 102152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150749088).

102152960 is an abundant number, since it is smaller than the sum of its proper divisors (199345216).

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

102152960 is an equidigital number, since it uses as much as digits as its factorization.

102152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 102152960 is about 10107.0747498967. The cubic root of 102152960 is about 467.4663115458.

It can be divided in two parts, 10 and 2152960, that multiplied together give a square (21529600 = 4640²).

The spelling of 102152960 in words is "one hundred two million, one hundred fifty-two thousand, nine hundred sixty".