106488005625 has 135 divisors (see below), whose sum is σ = 203746860603. Its totient is φ = 53569512000.

The previous prime is 106488005623. The next prime is 106488005629. The reversal of 106488005625 is 526500884601.

The square root of 106488005625 is 326325.

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

106488005625 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 8 + 80 + 0 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 28988127081 + 77499878544 = 170259^2 + 278388^2 .

It is not a de Polignac number, because 106488005625 - 2¹ = 106488005623 is a prime.

It is a super-2 number, since 2×106488005625² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106488005623) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 465013011 + ... + 465013239.

Almost surely, 2^106488005625 is an apocalyptic number.

106488005625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106488005625 is the 326325-th square number.

106488005625 is the 163163-rd centered octagonal number.

It is an amenable number.

106488005625 is a deficient number, since it is larger than the sum of its proper divisors (97258854978).

106488005625 is an frugal number, since it uses more digits than its factorization.

106488005625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 106488005625 in words is "one hundred six billion, four hundred eighty-eight million, five thousand, six hundred twenty-five".