106428083776400 has 30 divisors (see below), whose sum is σ = 255693471273762. Its totient is φ = 42571233510400.

The previous prime is 106428083776373. The next prime is 106428083776409. The reversal of 106428083776400 is 4677380824601.

It can be written as a sum of positive squares in 3 ways, for example, as 37512783053824 + 68915300722576 = 6124768^2 + 8301524^2 .

It is a super-2 number, since 2×106428083776400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106428083776409) 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 5 ways as a sum of consecutive naturals, for example, 133035104321 + ... + 133035105120.

Almost surely, 2^{106428083776400} is an apocalyptic number.

106428083776400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106428083776400 is an abundant number, since it is smaller than the sum of its proper divisors (149265387497362).

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

106428083776400 is a wasteful number, since it uses less digits than its factorization.

106428083776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266070209459 (or 266070209448 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 106428083776400 in words is "one hundred six trillion, four hundred twenty-eight billion, eighty-three million, seven hundred seventy-six thousand, four hundred".