106510616565 has 32 divisors (see below), whose sum is σ = 173000695296. Its totient is φ = 55944820800.

The previous prime is 106510616539. The next prime is 106510616591. The reversal of 106510616565 is 565616015601.

It is an interprime number because it is at equal distance from previous prime (106510616539) and next prime (106510616591).

It is not a de Polignac number, because 106510616565 - 2⁶ = 106510616501 is a prime.

It is a super-2 number, since 2×106510616565² (a number of 23 digits) 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5581290 + ... + 5600340.

It is an arithmetic number, because the mean of its divisors is an integer number (5406271728).

Almost surely, 2^106510616565 is an apocalyptic number.

106510616565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106510616565 is a deficient number, since it is larger than the sum of its proper divisors (66490078731).

106510616565 is a wasteful number, since it uses less digits than its factorization.

106510616565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24689.

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 106510616565 in words is "one hundred six billion, five hundred ten million, six hundred sixteen thousand, five hundred sixty-five".