106643472000 has 1024 divisors, whose sum is σ = 406328832000. Its totient is φ = 24551424000.

The previous prime is 106643471971. The next prime is 106643472007. The reversal of 106643472000 is 274346601.

It is a happy number.

It is a super-2 number, since 2×106643472000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106643472007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 715727926 + ... + 715728074.

It is an arithmetic number, because the mean of its divisors is an integer number (396805500).

Almost surely, 2^106643472000 is an apocalyptic number.

106643472000 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 106643472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203164416000).

106643472000 is an abundant number, since it is smaller than the sum of its proper divisors (299685360000).

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

106643472000 is a wasteful number, since it uses less digits than its factorization.

106643472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 106643472000 in words is "one hundred six billion, six hundred forty-three million, four hundred seventy-two thousand".