106401761 has 2 divisors, whose sum is σ = 106401762. Its totient is φ = 106401760.

The previous prime is 106401739. The next prime is 106401769. The reversal of 106401761 is 167104601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105987025 + 414736 = 10295^2 + 644^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106401761 is a prime.

It is a super-2 number, since 2×106401761² = 22642669487802242, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106401761.

It is not a weakly prime, because it can be changed into another prime (106401769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53200880 + 53200881.

It is an arithmetic number, because the mean of its divisors is an integer number (53200881).

Almost surely, 2^106401761 is an apocalyptic number.

It is an amenable number.

106401761 is a deficient number, since it is larger than the sum of its proper divisors (1).

106401761 is an equidigital number, since it uses as much as digits as its factorization.

106401761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 106401761 is about 10315.1229270426. The cubic root of 106401761 is about 473.8595146463.

The spelling of 106401761 in words is "one hundred six million, four hundred one thousand, seven hundred sixty-one".