106964973025 has 27 divisors (see below), whose sum is σ = 133837586841. Its totient is φ = 84804053280.

The previous prime is 106964973007. The next prime is 106964973041. The reversal of 106964973025 is 520379469601.

It is a happy number.

The square root of 106964973025 is 327055.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31924040929 + 75040932096 = 178673^2 + 273936^2 .

It is not a de Polignac number, because 106964973025 - 2³⁵ = 72605234657 is a prime.

It is a super-2 number, since 2×106964973025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 243655756 + ... + 243656194.

Almost surely, 2^106964973025 is an apocalyptic number.

106964973025 is the 327055-th square number.

106964973025 is the 163528-th centered octagonal number.

It is an amenable number.

106964973025 is a deficient number, since it is larger than the sum of its proper divisors (26872613816).

106964973025 is an frugal number, since it uses more digits than its factorization.

106964973025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 52.

The spelling of 106964973025 in words is "one hundred six billion, nine hundred sixty-four million, nine hundred seventy-three thousand, twenty-five".