106436438887968 has 144 divisors (see below), whose sum is σ = 358730220139200. Its totient is φ = 30410411095296.

The previous prime is 106436438887939. The next prime is 106436438887997. The reversal of 106436438887968 is 869788834634601.

106436438887968 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 36 + 438 + 88 + 79 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (106436438887939) and next prime (106436438887997).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106436438887968² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977646543 + ... + 977755406.

It is an arithmetic number, because the mean of its divisors is an integer number (2491182084300).

Almost surely, 2^{106436438887968} is an apocalyptic number.

106436438887968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106436438887968 is an abundant number, since it is smaller than the sum of its proper divisors (252293781251232).

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

106436438887968 is an equidigital number, since it uses as much as digits as its factorization.

106436438887968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955401981 (or 1955401961 counting only the distinct ones).

The product of its (nonzero) digits is 8026324992, while the sum is 81.

The spelling of 106436438887968 in words is "one hundred six trillion, four hundred thirty-six billion, four hundred thirty-eight million, eight hundred eighty-seven thousand, nine hundred sixty-eight".