102148185132 has 192 divisors, whose sum is σ = 309260206080. Its totient is φ = 28553990400.

The previous prime is 102148185103. The next prime is 102148185133. The reversal of 102148185132 is 231581841201.

It is a happy number.

102148185132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102148185132² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102148185133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8802358 + ... + 8813954.

It is an arithmetic number, because the mean of its divisors is an integer number (1610730240).

Almost surely, 2^102148185132 is an apocalyptic number.

102148185132 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 102148185132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154630103040).

102148185132 is an abundant number, since it is smaller than the sum of its proper divisors (207112020948).

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

102148185132 is a wasteful number, since it uses less digits than its factorization.

102148185132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11869 (or 11861 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 102148185132 in words is "one hundred two billion, one hundred forty-eight million, one hundred eighty-five thousand, one hundred thirty-two".