106249752 has 64 divisors (see below), whose sum is σ = 337305600. Its totient is φ = 30356640.

The previous prime is 106249747. The next prime is 106249763. The reversal of 106249752 is 257942601.

It is a super-2 number, since 2×106249752² = 22578019600123008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33624 + ... + 36647.

It is an arithmetic number, because the mean of its divisors is an integer number (5270400).

Almost surely, 2^106249752 is an apocalyptic number.

106249752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106249752 is an abundant number, since it is smaller than the sum of its proper divisors (231055848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106249752 is a wasteful number, since it uses less digits than its factorization.

106249752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70293 (or 70283 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106249752 is about 10307.7520342701. The cubic root of 106249752 is about 473.6337500867.

The spelling of 106249752 in words is "one hundred six million, two hundred forty-nine thousand, seven hundred fifty-two".