103148065440 has 288 divisors, whose sum is σ = 419960842560. Its totient is φ = 23576652288.

The previous prime is 103148065439. The next prime is 103148065451. The reversal of 103148065440 is 44560841301.

103148065440 is a `hidden beast` number, since 1 + 0 + 31 + 4 + 80 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 103148065395 and 103148065404.

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, 31962 + ... + 455321.

It is an arithmetic number, because the mean of its divisors is an integer number (1458197370).

Almost surely, 2^103148065440 is an apocalyptic number.

103148065440 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 103148065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209980421280).

103148065440 is an abundant number, since it is smaller than the sum of its proper divisors (316812777120).

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

103148065440 is a wasteful number, since it uses less digits than its factorization.

103148065440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487321 (or 487300 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 103148065440 in words is "one hundred three billion, one hundred forty-eight million, sixty-five thousand, four hundred forty".