103867242974880 has 384 divisors, whose sum is σ = 408140496562176. Its totient is φ = 21570872217600.

The previous prime is 103867242974879. The next prime is 103867242974897. The reversal of 103867242974880 is 88479242768301.

It is a super-2 number, since 2×103867242974880² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66158674 + ... + 67710446.

It is an arithmetic number, because the mean of its divisors is an integer number (1062865876464).

Almost surely, 2^{103867242974880} is an apocalyptic number.

103867242974880 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 103867242974880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204070248281088).

103867242974880 is an abundant number, since it is smaller than the sum of its proper divisors (304273253587296).

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

103867242974880 is a wasteful number, since it uses less digits than its factorization.

103867242974880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553620 (or 1553612 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 69.

The spelling of 103867242974880 in words is "one hundred three trillion, eight hundred sixty-seven billion, two hundred forty-two million, nine hundred seventy-four thousand, eight hundred eighty".