106746640000 has 1280 divisors, whose sum is σ = 376871362560. Its totient is φ = 29030400000.

The previous prime is 106746639983. The next prime is 106746640001. The reversal of 106746640000 is 46647601.

It is a happy number.

It is a super-2 number, since 2×106746640000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106746640001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2482479979 + ... + 2482480021.

It is an arithmetic number, because the mean of its divisors is an integer number (294430752).

Almost surely, 2^106746640000 is an apocalyptic number.

106746640000 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 106746640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188435681280).

106746640000 is an abundant number, since it is smaller than the sum of its proper divisors (270124722560).

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

106746640000 is a wasteful number, since it uses less digits than its factorization.

106746640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 106746640000 in words is "one hundred six billion, seven hundred forty-six million, six hundred forty thousand".