103622738291712 has 1056 divisors, whose sum is σ = 326933838766080. Its totient is φ = 31529708421120.

The previous prime is 103622738291671. The next prime is 103622738291713. The reversal of 103622738291712 is 217192837226301.

103622738291712 is a `hidden beast` number, since 1 + 0 + 3 + 622 + 7 + 3 + 8 + 2 + 9 + 1 + 7 + 1 + 2 = 666.

It is a super-3 number, since 3×103622738291712³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103622738291713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161155113663 + ... + 161155114305.

Almost surely, 2^{103622738291712} is an apocalyptic number.

103622738291712 is a gapful number since it is divisible by the number (12) 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 103622738291712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163466919383040).

103622738291712 is an abundant number, since it is smaller than the sum of its proper divisors (223311100474368).

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

103622738291712 is a wasteful number, since it uses less digits than its factorization.

103622738291712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 103622738291712 in words is "one hundred three trillion, six hundred twenty-two billion, seven hundred thirty-eight million, two hundred ninety-one thousand, seven hundred twelve".