106263645387840 has 560 divisors, whose sum is σ = 397554252733440. Its totient is φ = 26905452687360.

The previous prime is 106263645387799. The next prime is 106263645387857. The reversal of 106263645387840 is 48783546362601.

It is a happy number.

106263645387840 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 63 + 6 + 453 + 87 + 8 + 40 = 666.

It is a super-2 number, since 2×106263645387840² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41338941 + ... + 43834179.

Almost surely, 2^{106263645387840} is an apocalyptic number.

106263645387840 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 106263645387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198777126366720).

106263645387840 is an abundant number, since it is smaller than the sum of its proper divisors (291290607345600).

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

106263645387840 is a wasteful number, since it uses less digits than its factorization.

106263645387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495352 (or 2495333 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 106263645387840 in words is "one hundred six trillion, two hundred sixty-three billion, six hundred forty-five million, three hundred eighty-seven thousand, eight hundred forty".