103148204440608 has 864 divisors, whose sum is σ = 319979302755840. Its totient is φ = 31482284359680.

The previous prime is 103148204440591. The next prime is 103148204440627. The reversal of 103148204440608 is 806044402841301.

103148204440608 is a `hidden beast` number, since 1 + 0 + 3 + 14 + 8 + 20 + 4 + 4 + 4 + 0 + 608 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 306077757816 + ... + 306077758152.

Almost surely, 2^{103148204440608} is an apocalyptic number.

103148204440608 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 103148204440608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989651377920).

103148204440608 is an abundant number, since it is smaller than the sum of its proper divisors (216831098315232).

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

103148204440608 is a wasteful number, since it uses less digits than its factorization.

103148204440608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 103148204440608 in words is "one hundred three trillion, one hundred forty-eight billion, two hundred four million, four hundred forty thousand, six hundred eight".