106964973 has 48 divisors (see below), whose sum is σ = 169328640. Its totient is φ = 64864800.

The previous prime is 106964953. The next prime is 106964981. The reversal of 106964973 is 379469601.

It is not a de Polignac number, because 106964973 - 2⁶ = 106964909 is a prime.

It is a super-2 number, since 2×106964973² = 22883010897781458, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106964953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506838 + ... + 507048.

It is an arithmetic number, because the mean of its divisors is an integer number (3527680).

Almost surely, 2^106964973 is an apocalyptic number.

It is an amenable number.

106964973 is a deficient number, since it is larger than the sum of its proper divisors (62363667).

106964973 is a wasteful number, since it uses less digits than its factorization.

106964973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 106964973 is about 10342.3872002551. The cubic root of 106964973 is about 474.6941306907.

The spelling of 106964973 in words is "one hundred six million, nine hundred sixty-four thousand, nine hundred seventy-three".