106135333551 has 24 divisors (see below), whose sum is σ = 165404680896. Its totient is φ = 65193284160.

The previous prime is 106135333531. The next prime is 106135333571. The reversal of 106135333551 is 155333531601.

106135333551 is a `hidden beast` number, since 1 + 0 + 613 + 5 + 3 + 3 + 35 + 5 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (106135333531) and next prime (106135333571).

It is not a de Polignac number, because 106135333551 - 2¹¹ = 106135331503 is a prime.

It is a super-2 number, since 2×106135333551² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106135333501) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 775095 + ... + 901688.

It is an arithmetic number, because the mean of its divisors is an integer number (6891861704).

Almost surely, 2^106135333551 is an apocalyptic number.

106135333551 is a deficient number, since it is larger than the sum of its proper divisors (59269347345).

106135333551 is a wasteful number, since it uses less digits than its factorization.

106135333551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677343 (or 1677340 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The spelling of 106135333551 in words is "one hundred six billion, one hundred thirty-five million, three hundred thirty-three thousand, five hundred fifty-one".