106200765 has 48 divisors (see below), whose sum is σ = 203636160. Its totient is φ = 50768640.

The previous prime is 106200749. The next prime is 106200769. The reversal of 106200765 is 567002601.

It is not a de Polignac number, because 106200765 - 2⁴ = 106200749 is a prime.

It is a super-2 number, since 2×106200765² = 22557204973170450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106200769) 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, 34666 + ... + 37604.

It is an arithmetic number, because the mean of its divisors is an integer number (4242420).

Almost surely, 2^106200765 is an apocalyptic number.

106200765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106200765 is a deficient number, since it is larger than the sum of its proper divisors (97435395).

106200765 is a wasteful number, since it uses less digits than its factorization.

106200765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106200765 is about 10305.3755390088. The cubic root of 106200765 is about 473.5609484636.

The spelling of 106200765 in words is "one hundred six million, two hundred thousand, seven hundred sixty-five".