106101629 has 2 divisors, whose sum is σ = 106101630. Its totient is φ = 106101628.

The previous prime is 106101577. The next prime is 106101637. The reversal of 106101629 is 926101601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57729604 + 48372025 = 7598^2 + 6955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106101629 is a prime.

It is a super-3 number, since 3×106101629³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106101598 and 106101607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106101659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050814 + 53050815.

It is an arithmetic number, because the mean of its divisors is an integer number (53050815).

Almost surely, 2^106101629 is an apocalyptic number.

It is an amenable number.

106101629 is a deficient number, since it is larger than the sum of its proper divisors (1).

106101629 is an equidigital number, since it uses as much as digits as its factorization.

106101629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 106101629 is about 10300.5644990942. The cubic root of 106101629 is about 473.4135497961.

The spelling of 106101629 in words is "one hundred six million, one hundred one thousand, six hundred twenty-nine".