106281373968 has 300 divisors, whose sum is σ = 390363689232. Its totient is φ = 27605370240.

The previous prime is 106281373967. The next prime is 106281373981. The reversal of 106281373968 is 869373182601.

106281373968 is a `hidden beast` number, since 1 + 0 + 628 + 1 + 3 + 7 + 3 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×106281373968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106281373967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 622471 + ... + 774617.

Almost surely, 2^106281373968 is an apocalyptic number.

106281373968 is a gapful number since it is divisible by the number (18) 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 106281373968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195181844616).

106281373968 is an abundant number, since it is smaller than the sum of its proper divisors (284082315264).

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

106281373968 is a wasteful number, since it uses less digits than its factorization.

106281373968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152192 (or 152170 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

It can be divided in two parts, 106281 and 373968, that added together give a square (480249 = 693²).

The spelling of 106281373968 in words is "one hundred six billion, two hundred eighty-one million, three hundred seventy-three thousand, nine hundred sixty-eight".