106292955744 has 288 divisors, whose sum is σ = 324559872000. Its totient is φ = 32923376640.

The previous prime is 106292955737. The next prime is 106292955763. The reversal of 106292955744 is 447559292601.

It is a happy number.

106292955744 is a `hidden beast` number, since 1 + 0 + 6 + 29 + 29 + 557 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106292955744² (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 51522457 + ... + 51524519.

It is an arithmetic number, because the mean of its divisors is an integer number (1126944000).

Almost surely, 2^106292955744 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 106292955744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162279936000).

106292955744 is an abundant number, since it is smaller than the sum of its proper divisors (218266916256).

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

106292955744 is a wasteful number, since it uses less digits than its factorization.

106292955744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 106292955744 in words is "one hundred six billion, two hundred ninety-two million, nine hundred fifty-five thousand, seven hundred forty-four".