106157568000 has 832 divisors, whose sum is σ = 395482973184. Its totient is φ = 25067520000.

The previous prime is 106157567977. The next prime is 106157568001. The reversal of 106157568000 is 865751601.

It is a super-2 number, since 2×106157568000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106157568000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106157568001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1030655949 + ... + 1030656051.

It is an arithmetic number, because the mean of its divisors is an integer number (475340112).

Almost surely, 2^106157568000 is an apocalyptic number.

106157568000 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 106157568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197741486592).

106157568000 is an abundant number, since it is smaller than the sum of its proper divisors (289325405184).

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

106157568000 is a wasteful number, since it uses less digits than its factorization.

106157568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 106157568000 in words is "one hundred six billion, one hundred fifty-seven million, five hundred sixty-eight thousand".