106302761 has 2 divisors, whose sum is σ = 106302762. Its totient is φ = 106302760.

The previous prime is 106302697. The next prime is 106302787. The reversal of 106302761 is 167203601.

It is an a-pointer prime, because the next prime (106302787) can be obtained adding 106302761 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104755225 + 1547536 = 10235^2 + 1244^2 .

It is a cyclic number.

It is not a de Polignac number, because 106302761 - 2⁶ = 106302697 is a prime.

It is a super-2 number, since 2×106302761² = 22600553992446242, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106302761.

It is not a weakly prime, because it can be changed into another prime (106302061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53151380 + 53151381.

It is an arithmetic number, because the mean of its divisors is an integer number (53151381).

Almost surely, 2^106302761 is an apocalyptic number.

It is an amenable number.

106302761 is a deficient number, since it is larger than the sum of its proper divisors (1).

106302761 is an equidigital number, since it uses as much as digits as its factorization.

106302761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 106302761 is about 10310.3230308269. The cubic root of 106302761 is about 473.7125037679.

The spelling of 106302761 in words is "one hundred six million, three hundred two thousand, seven hundred sixty-one".