103714248960 has 576 divisors, whose sum is σ = 425433254400. Its totient is φ = 23434887168.

The previous prime is 103714248947. The next prime is 103714248961. The reversal of 103714248960 is 69842417301.

103714248960 is a `hidden beast` number, since 1 + 0 + 3 + 71 + 42 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×103714248960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103714248961) 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, 21528472 + ... + 21533288.

It is an arithmetic number, because the mean of its divisors is an integer number (738599400).

Almost surely, 2^103714248960 is an apocalyptic number.

103714248960 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 103714248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212716627200).

103714248960 is an abundant number, since it is smaller than the sum of its proper divisors (321719005440).

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

103714248960 is an equidigital number, since it uses as much as digits as its factorization.

103714248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 103714248960 in words is "one hundred three billion, seven hundred fourteen million, two hundred forty-eight thousand, nine hundred sixty".