106773996672 has 192 divisors, whose sum is σ = 351340142400. Its totient is φ = 30490048512.

The previous prime is 106773996671. The next prime is 106773996677. The reversal of 106773996672 is 276699377601.

106773996672 is a `hidden beast` number, since 106 + 77 + 399 + 6 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106773996672² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (106773996671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27326943 + ... + 27330849.

It is an arithmetic number, because the mean of its divisors is an integer number (1829896575).

Almost surely, 2^106773996672 is an apocalyptic number.

106773996672 is a gapful number since it is divisible by the number (12) 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 106773996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175670071200).

106773996672 is an abundant number, since it is smaller than the sum of its proper divisors (244566145728).

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

106773996672 is a wasteful number, since it uses less digits than its factorization.

106773996672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7323 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 106773996672 in words is "one hundred six billion, seven hundred seventy-three million, nine hundred ninety-six thousand, six hundred seventy-two".