106546333065400 has 48 divisors (see below), whose sum is σ = 248501676336840. Its totient is φ = 42484089878400.

The previous prime is 106546333065397. The next prime is 106546333065437. The reversal of 106546333065400 is 4560333645601.

106546333065400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106546333065400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 840207366 + ... + 840334165.

Almost surely, 2^{106546333065400} is an apocalyptic number.

106546333065400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106546333065400 is an abundant number, since it is smaller than the sum of its proper divisors (141955343271440).

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

106546333065400 is a wasteful number, since it uses less digits than its factorization.

106546333065400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680541864 (or 1680541855 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 46.

The spelling of 106546333065400 in words is "one hundred six trillion, five hundred forty-six billion, three hundred thirty-three million, sixty-five thousand, four hundred".