106412441 has 2 divisors, whose sum is σ = 106412442. Its totient is φ = 106412440.

The previous prime is 106412419. The next prime is 106412461. The reversal of 106412441 is 144214601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98089216 + 8323225 = 9904^2 + 2885^2 .

It is an emirp because it is prime and its reverse (144214601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106412441 - 2⁶ = 106412377 is a prime.

It is a super-2 number, since 2×106412441² = 22647215199156962, which contains 22 as substring.

It is a Chen prime.

It is equal to p_6109061 and since 106412441 and 6109061 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (106412461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53206220 + 53206221.

It is an arithmetic number, because the mean of its divisors is an integer number (53206221).

Almost surely, 2^106412441 is an apocalyptic number.

It is an amenable number.

106412441 is a deficient number, since it is larger than the sum of its proper divisors (1).

106412441 is an equidigital number, since it uses as much as digits as its factorization.

106412441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 106412441 is about 10315.6406005638. The cubic root of 106412441 is about 473.8753685515.

The spelling of 106412441 in words is "one hundred six million, four hundred twelve thousand, four hundred forty-one".