106293641 has 2 divisors, whose sum is σ = 106293642. Its totient is φ = 106293640.

The previous prime is 106293623. The next prime is 106293653. The reversal of 106293641 is 146392601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77510416 + 28783225 = 8804^2 + 5365^2 .

It is a cyclic number.

It is not a de Polignac number, because 106293641 - 2¹⁰ = 106292617 is a prime.

It is a super-2 number, since 2×106293641² = 22596676234073762, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106293598 and 106293607.

It is not a weakly prime, because it can be changed into another prime (106293611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53146820 + 53146821.

It is an arithmetic number, because the mean of its divisors is an integer number (53146821).

Almost surely, 2^106293641 is an apocalyptic number.

It is an amenable number.

106293641 is a deficient number, since it is larger than the sum of its proper divisors (1).

106293641 is an equidigital number, since it uses as much as digits as its factorization.

106293641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 106293641 is about 10309.8807461580. The cubic root of 106293641 is about 473.6989563569.

The spelling of 106293641 in words is "one hundred six million, two hundred ninety-three thousand, six hundred forty-one".