106488658276 has 243 divisors, whose sum is σ = 259611140313. Its totient is φ = 38062664640.

The previous prime is 106488658273. The next prime is 106488658301. The reversal of 106488658276 is 672856884601.

The square root of 106488658276 is 326326.

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

It can be written as a sum of positive squares in only one way, i.e., 15752760100 + 90735898176 = 125510^2 + 301224^2 .

It is a super-2 number, since 2×106488658276² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106488658273) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 653304571 + ... + 653304733.

Almost surely, 2^106488658276 is an apocalyptic number.

106488658276 is the 326326-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106488658276

106488658276 is an abundant number, since it is smaller than the sum of its proper divisors (153122482037).

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

106488658276 is a wasteful number, since it uses less digits than its factorization.

106488658276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 61.

The spelling of 106488658276 in words is "one hundred six billion, four hundred eighty-eight million, six hundred fifty-eight thousand, two hundred seventy-six".