106761875600 has 30 divisors (see below), whose sum is σ = 256495407090. Its totient is φ = 42704750080.

The previous prime is 106761875557. The next prime is 106761875651. The reversal of 106761875600 is 6578167601.

It can be written as a sum of positive squares in 3 ways, for example, as 1300612096 + 105461263504 = 36064^2 + 324748^2 .

It is a super-2 number, since 2×106761875600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133451945 + ... + 133452744.

It is an arithmetic number, because the mean of its divisors is an integer number (8549846903).

Almost surely, 2^106761875600 is an apocalyptic number.

106761875600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106761875600 is an abundant number, since it is smaller than the sum of its proper divisors (149733531490).

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

106761875600 is a wasteful number, since it uses less digits than its factorization.

106761875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266904707 (or 266904696 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 106761875600 in words is "one hundred six billion, seven hundred sixty-one million, eight hundred seventy-five thousand, six hundred".