106876686400 has 189 divisors, whose sum is σ = 289454023453. Its totient is φ = 38811942400.

The previous prime is 106876686379. The next prime is 106876686407. The reversal of 106876686400 is 4686678601.

It is a happy number.

The square root of 106876686400 is 326920.

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

It can be written as a sum of positive squares in only one way, i.e., 38475607104 + 68401079296 = 196152^2 + 261536^2 .

It is a super-2 number, since 2×106876686400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106876686407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143844429 + ... + 143845171.

Almost surely, 2^106876686400 is an apocalyptic number.

106876686400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106876686400 is the 326920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106876686400

106876686400 is an abundant number, since it is smaller than the sum of its proper divisors (182577337053).

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

106876686400 is an frugal number, since it uses more digits than its factorization.

106876686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 106876686400 in words is "one hundred six billion, eight hundred seventy-six million, six hundred eighty-six thousand, four hundred".