103148212608 has 384 divisors, whose sum is σ = 356607014400. Its totient is φ = 27979776000.

The previous prime is 103148212591. The next prime is 103148212619. The reversal of 103148212608 is 806212841301.

103148212608 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 48 + 2 + 1 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25778608 + ... + 25782608.

It is an arithmetic number, because the mean of its divisors is an integer number (928664100).

Almost surely, 2^103148212608 is an apocalyptic number.

103148212608 is a gapful number since it is divisible by the number (18) 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 103148212608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178303507200).

103148212608 is an abundant number, since it is smaller than the sum of its proper divisors (253458801792).

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

103148212608 is a wasteful number, since it uses less digits than its factorization.

103148212608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 103148212608 in words is "one hundred three billion, one hundred forty-eight million, two hundred twelve thousand, six hundred eight".