106555745523800 has 48 divisors (see below), whose sum is σ = 252416487770640. Its totient is φ = 41818103899520.

The previous prime is 106555745523793. The next prime is 106555745523869. The reversal of 106555745523800 is 8325547555601.

It is a super-2 number, since 2×106555745523800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5026203812 + ... + 5026225011.

It is an arithmetic number, because the mean of its divisors is an integer number (5258676828555).

Almost surely, 2^{106555745523800} is an apocalyptic number.

106555745523800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106555745523800 is an abundant number, since it is smaller than the sum of its proper divisors (145860742246840).

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

106555745523800 is a wasteful number, since it uses less digits than its factorization.

106555745523800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052428892 (or 10052428883 counting only the distinct ones).

The product of its (nonzero) digits is 25200000, while the sum is 56.

The spelling of 106555745523800 in words is "one hundred six trillion, five hundred fifty-five billion, seven hundred forty-five million, five hundred twenty-three thousand, eight hundred".