106592191056 has 360 divisors, whose sum is σ = 345858030336. Its totient is φ = 31733544960.

The previous prime is 106592191033. The next prime is 106592191081. The reversal of 106592191056 is 650191295601.

It is a happy number.

106592191056 is a `hidden beast` number, since 1 + 0 + 6 + 592 + 1 + 9 + 1 + 0 + 56 = 666.

It is a super-2 number, since 2×106592191056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20366616 + ... + 20371848.

Almost surely, 2^106592191056 is an apocalyptic number.

106592191056 is a gapful number since it is divisible by the number (16) 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 106592191056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172929015168).

106592191056 is an abundant number, since it is smaller than the sum of its proper divisors (239265839280).

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

106592191056 is a wasteful number, since it uses less digits than its factorization.

106592191056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 106592191056 in words is "one hundred six billion, five hundred ninety-two million, one hundred ninety-one thousand, fifty-six".