106957129472064 has 315 divisors, whose sum is σ = 318917219396061. Its totient is φ = 35444129817600.

The previous prime is 106957129472047. The next prime is 106957129472093. The reversal of 106957129472064 is 460274921759601.

The square root of 106957129472064 is 10342008.

It is a perfect power (a square), and thus also a powerful number.

106957129472064 is a `hidden beast` number, since 1 + 0 + 6 + 95 + 7 + 12 + 9 + 472 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89900890265664 + 17056239206400 = 9481608^2 + 4129920^2 .

It is a super-2 number, since 2×106957129472064² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106957129471992 and 106957129472010.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 177965273364 + ... + 177965273964.

Almost surely, 2^{106957129472064} is an apocalyptic number.

106957129472064 is the 10342008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106957129472064

106957129472064 is an abundant number, since it is smaller than the sum of its proper divisors (211960089923997).

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

106957129472064 is an frugal number, since it uses more digits than its factorization.

106957129472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 106957129472064 in words is "one hundred six trillion, nine hundred fifty-seven billion, one hundred twenty-nine million, four hundred seventy-two thousand, sixty-four".