106151701775 has 24 divisors (see below), whose sum is σ = 150719889024. Its totient is φ = 72650498400.

The previous prime is 106151701723. The next prime is 106151701829. The reversal of 106151701775 is 577107151601.

It is not a de Polignac number, because 106151701775 - 2¹² = 106151697679 is a prime.

It is a super-2 number, since 2×106151701775² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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 23 ways as a sum of consecutive naturals, for example, 488381 + ... + 671430.

It is an arithmetic number, because the mean of its divisors is an integer number (6279995376).

Almost surely, 2^106151701775 is an apocalyptic number.

106151701775 is a deficient number, since it is larger than the sum of its proper divisors (44568187249).

106151701775 is a wasteful number, since it uses less digits than its factorization.

106151701775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160351 (or 1160346 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 41.

The spelling of 106151701775 in words is "one hundred six billion, one hundred fifty-one million, seven hundred one thousand, seven hundred seventy-five".