106400177934336 has 1248 divisors, whose sum is σ = 367687168797312. Its totient is φ = 29220919050240.

The previous prime is 106400177934247. The next prime is 106400177934341. The reversal of 106400177934336 is 633439771004601.

106400177934336 is a `hidden beast` number, since 1 + 0 + 6 + 400 + 177 + 9 + 34 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×106400177934336² (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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108904992280 + ... + 108904993256.

It is an arithmetic number, because the mean of its divisors is an integer number (294621128844).

Almost surely, 2^{106400177934336} is an apocalyptic number.

106400177934336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106400177934336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183843584398656).

106400177934336 is an abundant number, since it is smaller than the sum of its proper divisors (261286990862976).

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

106400177934336 is a wasteful number, since it uses less digits than its factorization.

106400177934336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 106400177934336 in words is "one hundred six trillion, four hundred billion, one hundred seventy-seven million, nine hundred thirty-four thousand, three hundred thirty-six".