106889953 has 16 divisors (see below), whose sum is σ = 116928000. Its totient is φ = 97338240.

The previous prime is 106889899. The next prime is 106889963. The reversal of 106889953 is 359988601.

It is a cyclic number.

It is not a de Polignac number, because 106889953 - 2²¹ = 104792801 is a prime.

It is a super-2 number, since 2×106889953² = 22850924104684418, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106889897 and 106889906.

It is not an unprimeable number, because it can be changed into a prime (106889963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101373 + ... + 102421.

It is an arithmetic number, because the mean of its divisors is an integer number (7308000).

Almost surely, 2^106889953 is an apocalyptic number.

It is an amenable number.

106889953 is a deficient number, since it is larger than the sum of its proper divisors (10038047).

106889953 is a wasteful number, since it uses less digits than its factorization.

106889953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272.

The product of its (nonzero) digits is 466560, while the sum is 49.

The square root of 106889953 is about 10338.7597418646. The cubic root of 106889953 is about 474.5831289882.

The spelling of 106889953 in words is "one hundred six million, eight hundred eighty-nine thousand, nine hundred fifty-three".