106981326400 has 567 divisors, whose sum is σ = 311206727979. Its totient is φ = 36172431360.

The previous prime is 106981326379. The next prime is 106981326409. The reversal of 106981326400 is 4623189601.

The square root of 106981326400 is 327080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 101975480896 + 5005845504 = 319336^2 + 70752^2 .

It is a super-2 number, since 2×106981326400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106981326409) 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 80 ways as a sum of consecutive naturals, for example, 2891387182 + ... + 2891387218.

Almost surely, 2^106981326400 is an apocalyptic number.

106981326400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106981326400 is the 327080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106981326400

106981326400 is an abundant number, since it is smaller than the sum of its proper divisors (204225401579).

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

106981326400 is a wasteful number, since it uses less digits than its factorization.

106981326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 106981326400 in words is "one hundred six billion, nine hundred eighty-one million, three hundred twenty-six thousand, four hundred".