106327862634240 has 216 divisors, whose sum is σ = 396182047060800. Its totient is φ = 26173012303872.

The previous prime is 106327862634233. The next prime is 106327862634247. The reversal of 106327862634240 is 42436268723601.

106327862634240 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 2 + 7 + 8 + 626 + 3 + 4 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106327862634233) and next prime (106327862634247).

It is a super-2 number, since 2×106327862634240² (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 (106327862634247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354844440 + ... + 355143959.

It is an arithmetic number, because the mean of its divisors is an integer number (1834176143800).

Almost surely, 2^{106327862634240} is an apocalyptic number.

106327862634240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106327862634240 is an abundant number, since it is smaller than the sum of its proper divisors (289854184426560).

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

106327862634240 is a wasteful number, since it uses less digits than its factorization.

106327862634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709988439 (or 709988422 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 106327862634240 in words is "one hundred six trillion, three hundred twenty-seven billion, eight hundred sixty-two million, six hundred thirty-four thousand, two hundred forty".