106249455 has 48 divisors (see below), whose sum is σ = 204579360. Its totient is φ = 52296192.

The previous prime is 106249453. The next prime is 106249457. The reversal of 106249455 is 554942601.

It is an interprime number because it is at equal distance from previous prime (106249453) and next prime (106249457).

It is not a de Polignac number, because 106249455 - 2¹ = 106249453 is a prime.

It is a super-3 number, since 3×106249455³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106249453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20487 + ... + 25143.

It is an arithmetic number, because the mean of its divisors is an integer number (4262070).

Almost surely, 2^106249455 is an apocalyptic number.

106249455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106249455 is a deficient number, since it is larger than the sum of its proper divisors (98329905).

106249455 is a wasteful number, since it uses less digits than its factorization.

106249455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 106249455 is about 10307.7376276271. The cubic root of 106249455 is about 473.6333087701.

The spelling of 106249455 in words is "one hundred six million, two hundred forty-nine thousand, four hundred fifty-five".