106347765 has 16 divisors (see below), whose sum is σ = 171458496. Its totient is φ = 56284800.

The previous prime is 106347751. The next prime is 106347797. The reversal of 106347765 is 567743601.

It is not a de Polignac number, because 106347765 - 2⁴ = 106347749 is a prime.

It is a super-2 number, since 2×106347765² = 22619694240990450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25096 + ... + 29025.

It is an arithmetic number, because the mean of its divisors is an integer number (10716156).

Almost surely, 2^106347765 is an apocalyptic number.

106347765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106347765 is a deficient number, since it is larger than the sum of its proper divisors (65110731).

106347765 is a wasteful number, since it uses less digits than its factorization.

106347765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54260.

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 106347765 is about 10312.5052727259. The cubic root of 106347765 is about 473.7793441444.

It can be divided in two parts, 1063 and 47765, that added together give a triangular number (48828 = T₃₁₂).

The spelling of 106347765 in words is "one hundred six million, three hundred forty-seven thousand, seven hundred sixty-five".