106249457 has 2 divisors, whose sum is σ = 106249458. Its totient is φ = 106249456.

The previous prime is 106249453. The next prime is 106249477. The reversal of 106249457 is 754942601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62742241 + 43507216 = 7921^2 + 6596^2 .

It is a cyclic number.

It is not a de Polignac number, because 106249457 - 2² = 106249453 is a prime.

It is a super-3 number, since 3×106249457³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106249457.

It is not a weakly prime, because it can be changed into another prime (106249453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53124728 + 53124729.

It is an arithmetic number, because the mean of its divisors is an integer number (53124729).

Almost surely, 2^106249457 is an apocalyptic number.

It is an amenable number.

106249457 is a deficient number, since it is larger than the sum of its proper divisors (1).

106249457 is an equidigital number, since it uses as much as digits as its factorization.

106249457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 106249457 is about 10307.7377246416. The cubic root of 106249457 is about 473.6333117419.

The spelling of 106249457 in words is "one hundred six million, two hundred forty-nine thousand, four hundred fifty-seven".