106352568000 has 896 divisors, whose sum is σ = 460525977600. Its totient is φ = 23514624000.

The previous prime is 106352567957. The next prime is 106352568061. The reversal of 106352568000 is 865253601.

106352568000 is a `hidden beast` number, since 10 + 63 + 525 + 68 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×106352568000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46870866 + ... + 46873134.

Almost surely, 2^106352568000 is an apocalyptic number.

106352568000 is a gapful number since it is divisible by the number (10) 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 106352568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230262988800).

106352568000 is an abundant number, since it is smaller than the sum of its proper divisors (354173409600).

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

106352568000 is a wasteful number, since it uses less digits than its factorization.

106352568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 106352568000 in words is "one hundred six billion, three hundred fifty-two million, five hundred sixty-eight thousand".