106558296768 has 1120 divisors, whose sum is σ = 428265750528. Its totient is φ = 25347686400.

The previous prime is 106558296749. The next prime is 106558296773. The reversal of 106558296768 is 867692855601.

106558296768 is a `hidden beast` number, since 1 + 0 + 6 + 558 + 2 + 9 + 6 + 76 + 8 = 666.

It is a super-2 number, since 2×106558296768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 278219905 + ... + 278220287.

Almost surely, 2^106558296768 is an apocalyptic number.

106558296768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106558296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214132875264).

106558296768 is an abundant number, since it is smaller than the sum of its proper divisors (321707453760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106558296768 is a wasteful number, since it uses less digits than its factorization.

106558296768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 106558296768 in words is "one hundred six billion, five hundred fifty-eight million, two hundred ninety-six thousand, seven hundred sixty-eight".