106375500 has 288 divisors, whose sum is σ = 419747328. Its totient is φ = 22032000.

The previous prime is 106375499. The next prime is 106375501. The reversal of 106375500 is 5573601.

106375500 is a `hidden beast` number, since 106 + 3 + 7 + 550 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106375499) and next prime (106375501).

It is a super-2 number, since 2×106375500² = 22631494000500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106375501) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 346347 + ... + 346653.

It is an arithmetic number, because the mean of its divisors is an integer number (1457456).

Almost surely, 2^106375500 is an apocalyptic number.

106375500 is a gapful number since it is divisible by the number (10) 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 106375500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209873664).

106375500 is an abundant number, since it is smaller than the sum of its proper divisors (313371828).

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

106375500 is a wasteful number, since it uses less digits than its factorization.

106375500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 106375500 is about 10313.8499116479. The cubic root of 106375500 is about 473.8205270440.

The spelling of 106375500 in words is "one hundred six million, three hundred seventy-five thousand, five hundred".