106665621689025 has 243 divisors, whose sum is σ = 230841216106371. Its totient is φ = 48748042092960.

The previous prime is 106665621688987. The next prime is 106665621689111. The reversal of 106665621689025 is 520986126566601.

The square root of 106665621689025 is 10327905.

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., 38399623808049 + 68265997880976 = 6196743^2 + 8262324^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 106665621689025 - 2¹³ = 106665621680833 is a prime.

It is a super-2 number, since 2×106665621689025² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 29279608854 + ... + 29279612496.

Almost surely, 2^{106665621689025} is an apocalyptic number.

106665621689025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106665621689025 is the 10327905-th square number.

106665621689025 is the 5163953-rd centered octagonal number.

It is an amenable number.

106665621689025 is an abundant number, since it is smaller than the sum of its proper divisors (124175594417346).

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

106665621689025 is an frugal number, since it uses more digits than its factorization.

106665621689025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 106665621689025 in words is "one hundred six trillion, six hundred sixty-five billion, six hundred twenty-one million, six hundred eighty-nine thousand, twenty-five".