102132192 has 48 divisors (see below), whose sum is σ = 283871952. Its totient is φ = 32040960.

The previous prime is 102132157. The next prime is 102132193. The reversal of 102132192 is 291231201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132193) 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, 29659 + ... + 32922.

It is an arithmetic number, because the mean of its divisors is an integer number (5913999).

Almost surely, 2^102132192 is an apocalyptic number.

102132192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102132192 is an abundant number, since it is smaller than the sum of its proper divisors (181739760).

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

102132192 is a wasteful number, since it uses less digits than its factorization.

102132192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62611 (or 62603 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 102132192 is about 10106.0472985238. The cubic root of 102132192 is about 467.4346303025.

Adding to 102132192 its reverse (291231201), we get a palindrome (393363393).

It can be divided in two parts, 102 and 132192, that multiplied together give a square (13483584 = 3672²).

The spelling of 102132192 in words is "one hundred two million, one hundred thirty-two thousand, one hundred ninety-two".