106265124 has 108 divisors (see below), whose sum is σ = 315950544. Its totient is φ = 30024288.

The previous prime is 106265101. The next prime is 106265141. The reversal of 106265124 is 421562601.

106265124 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 651 + 2 + 4 = 666.

It is a super-2 number, since 2×106265124² = 22584553157470752, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 188467 + ... + 189029.

It is an arithmetic number, because the mean of its divisors is an integer number (2925468).

Almost surely, 2^106265124 is an apocalyptic number.

106265124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106265124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157975272).

106265124 is an abundant number, since it is smaller than the sum of its proper divisors (209685420).

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

106265124 is a wasteful number, since it uses less digits than its factorization.

106265124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106265124 is about 10308.4976596980. The cubic root of 106265124 is about 473.6565904441.

The spelling of 106265124 in words is "one hundred six million, two hundred sixty-five thousand, one hundred twenty-four".