103679818357248 has 720 divisors, whose sum is σ = 368800721330184. Its totient is φ = 27861752217600.

The previous prime is 103679818357229. The next prime is 103679818357273. The reversal of 103679818357248 is 842753818976301.

103679818357248 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 7 + 9 + 8 + 1 + 8 + 3 + 572 + 48 = 666.

103679818357248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 101355925434624 + 2323892922624 = 10067568^2 + 1524432^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6360326698 + ... + 6360342998.

It is a 1-persistent number, because it is pandigital, but 2⋅103679818357248 = 207359636714496 is not.

Almost surely, 2^{103679818357248} is an apocalyptic number.

103679818357248 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 103679818357248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184400360665092).

103679818357248 is an abundant number, since it is smaller than the sum of its proper divisors (265120902972936).

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

103679818357248 is a wasteful number, since it uses less digits than its factorization.

103679818357248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18013 (or 17987 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 103679818357248 in words is "one hundred three trillion, six hundred seventy-nine billion, eight hundred eighteen million, three hundred fifty-seven thousand, two hundred forty-eight".