106277403055104 has 616 divisors, whose sum is σ = 339543422960000. Its totient is φ = 33136109420544.

The previous prime is 106277403055027. The next prime is 106277403055139. The reversal of 106277403055104 is 401550304772601.

106277403055104 is a `hidden beast` number, since 1 + 0 + 6 + 27 + 7 + 40 + 30 + 551 + 0 + 4 = 666.

It is a super-2 number, since 2×106277403055104² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106277403055104.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 1120443072 + ... + 1120537920.

Almost surely, 2^{106277403055104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106277403055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169771711480000).

106277403055104 is an abundant number, since it is smaller than the sum of its proper divisors (233266019904896).

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

106277403055104 is an frugal number, since it uses more digits than its factorization.

106277403055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94985 (or 94952 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 106277403055104 in words is "one hundred six trillion, two hundred seventy-seven billion, four hundred three million, fifty-five thousand, one hundred four".