103248295488 has 224 divisors, whose sum is σ = 332242485120. Its totient is φ = 31247493120.

The previous prime is 103248295481. The next prime is 103248295489. The reversal of 103248295488 is 884592842301.

103248295488 is a `hidden beast` number, since 1 + 0 + 32 + 48 + 2 + 95 + 488 = 666.

It is a super-2 number, since 2×103248295488² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (103248295481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332631 + ... + 1407977.

It is an arithmetic number, because the mean of its divisors is an integer number (1483225380).

Almost surely, 2^103248295488 is an apocalyptic number.

103248295488 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 103248295488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166121242560).

103248295488 is an abundant number, since it is smaller than the sum of its proper divisors (228994189632).

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

103248295488 is a wasteful number, since it uses less digits than its factorization.

103248295488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75442 (or 75426 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 103248295488 in words is "one hundred three billion, two hundred forty-eight million, two hundred ninety-five thousand, four hundred eighty-eight".