106374573578025 has 81 divisors (see below), whose sum is σ = 193194926972229. Its totient is φ = 55949999322240.

The previous prime is 106374573578011. The next prime is 106374573578029. The reversal of 106374573578025 is 520875375473601.

The square root of 106374573578025 is 10313805.

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

106374573578025 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 7 + 4 + 57 + 3 + 578 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 582075917721 + 105792497660304 = 762939^2 + 10285548^2 .

It is not a de Polignac number, because 106374573578025 - 2⁹ = 106374573577513 is a prime.

It is a super-2 number, since 2×106374573578025² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106374573578029) 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, 11293611766 + ... + 11293621184.

Almost surely, 2^{106374573578025} is an apocalyptic number.

106374573578025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106374573578025 is the 10313805-th square number.

106374573578025 is the 5156903-rd centered octagonal number.

It is an amenable number.

106374573578025 is a deficient number, since it is larger than the sum of its proper divisors (86820353394204).

106374573578025 is an frugal number, since it uses more digits than its factorization.

106374573578025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19000 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 106374573578025 in words is "one hundred six trillion, three hundred seventy-four billion, five hundred seventy-three million, five hundred seventy-eight thousand, twenty-five".