90726101 has 2 divisors, whose sum is σ = 90726102. Its totient is φ = 90726100.

The previous prime is 90726067. The next prime is 90726113. The reversal of 90726101 is 10162709.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73702225 + 17023876 = 8585^2 + 4126^2 .

It is an emirp because it is prime and its reverse (10162709) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90726101 - 2⁶ = 90726037 is a prime.

It is a Chen prime.

It is equal to p_5256710 and since 90726101 and 5256710 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90726131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45363050 + 45363051.

It is an arithmetic number, because the mean of its divisors is an integer number (45363051).

Almost surely, 2^90726101 is an apocalyptic number.

It is an amenable number.

90726101 is a deficient number, since it is larger than the sum of its proper divisors (1).

90726101 is an equidigital number, since it uses as much as digits as its factorization.

90726101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 90726101 is about 9525.0249868439. The cubic root of 90726101 is about 449.3424156728.

The spelling of 90726101 in words is "ninety million, seven hundred twenty-six thousand, one hundred one".