103348150607520 has 2880 divisors, whose sum is σ = 471118828739328. Its totient is φ = 20771699097600.

The previous prime is 103348150607483. The next prime is 103348150607567. The reversal of 103348150607520 is 25706051843301.

It is a happy number.

103348150607520 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 4 + 8 + 15 + 0 + 607 + 5 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 75935451640 + ... + 75935453000.

Almost surely, 2^{103348150607520} is an apocalyptic number.

103348150607520 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 103348150607520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235559414369664).

103348150607520 is an abundant number, since it is smaller than the sum of its proper divisors (367770678131808).

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

103348150607520 is a wasteful number, since it uses less digits than its factorization.

103348150607520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 103348150607520 in words is "one hundred three trillion, three hundred forty-eight billion, one hundred fifty million, six hundred seven thousand, five hundred twenty".