106120993 has 12 divisors (see below), whose sum is σ = 116904340. Its totient is φ = 96259680.

The previous prime is 106120991. The next prime is 106121009. The reversal of 106120993 is 399021601.

It can be written as a sum of positive squares in 2 ways, for example, as 45468049 + 60652944 = 6743^2 + 7788^2 .

It is not a de Polignac number, because 106120993 - 2¹ = 106120991 is a prime.

It is a super-2 number, since 2×106120993² = 22523330310612098, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106120991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85171 + ... + 86407.

Almost surely, 2^106120993 is an apocalyptic number.

It is an amenable number.

106120993 is a deficient number, since it is larger than the sum of its proper divisors (10783347).

106120993 is a wasteful number, since it uses less digits than its factorization.

106120993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 106120993 is about 10301.5044046974. The cubic root of 106120993 is about 473.4423480419.

The spelling of 106120993 in words is "one hundred six million, one hundred twenty thousand, nine hundred ninety-three".