103867242974838 has 32 divisors (see below), whose sum is σ = 263789823429120. Its totient is φ = 29676355135560.

The previous prime is 103867242974837. The next prime is 103867242974879. The reversal of 103867242974838 is 838479242768301.

103867242974838 is a `hidden beast` number, since 1 + 0 + 38 + 6 + 7 + 24 + 2 + 97 + 483 + 8 = 666.

It is a super-2 number, since 2×103867242974838² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103867242974837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137390532658 + ... + 137390533413.

It is an arithmetic number, because the mean of its divisors is an integer number (8243431982160).

Almost surely, 2^{103867242974838} is an apocalyptic number.

103867242974838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

103867242974838 is an abundant number, since it is smaller than the sum of its proper divisors (159922580454282).

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

103867242974838 is a wasteful number, since it uses less digits than its factorization.

103867242974838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274781066089 (or 274781066083 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 103867242974838 in words is "one hundred three trillion, eight hundred sixty-seven billion, two hundred forty-two million, nine hundred seventy-four thousand, eight hundred thirty-eight".