106958233557 has 36 divisors (see below), whose sum is σ = 179778100320. Its totient is φ = 61098870672.

The previous prime is 106958233483. The next prime is 106958233567. The reversal of 106958233557 is 755332859601.

106958233557 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 5 + 82 + 3 + 3 + 557 = 666.

It is not a de Polignac number, because 106958233557 - 2⁷ = 106958233429 is a prime.

It is a super-2 number, since 2×106958233557² (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 (106958233567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1356544 + ... + 1433222.

It is an arithmetic number, because the mean of its divisors is an integer number (4993836120).

Almost surely, 2^106958233557 is an apocalyptic number.

It is an amenable number.

106958233557 is a deficient number, since it is larger than the sum of its proper divisors (72819866763).

106958233557 is a wasteful number, since it uses less digits than its factorization.

106958233557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79862 (or 79852 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 106958233557 in words is "one hundred six billion, nine hundred fifty-eight million, two hundred thirty-three thousand, five hundred fifty-seven".