103647660480 has 896 divisors, whose sum is σ = 452719196160. Its totient is φ = 21737963520.

The previous prime is 103647660461. The next prime is 103647660499. The reversal of 103647660480 is 84066746301.

It is a happy number.

103647660480 is a `hidden beast` number, since 1 + 0 + 36 + 4 + 7 + 6 + 604 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103647660461) and next prime (103647660499).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 189483567 + ... + 189484113.

It is an arithmetic number, because the mean of its divisors is an integer number (505266960).

Almost surely, 2^103647660480 is an apocalyptic number.

103647660480 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 103647660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226359598080).

103647660480 is an abundant number, since it is smaller than the sum of its proper divisors (349071535680).

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

103647660480 is a wasteful number, since it uses less digits than its factorization.

103647660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 103647660480 in words is "one hundred three billion, six hundred forty-seven million, six hundred sixty thousand, four hundred eighty".