106140672000 has 896 divisors, whose sum is σ = 429365664000. Its totient is φ = 25657344000.

The previous prime is 106140671971. The next prime is 106140672013. The reversal of 106140672000 is 276041601.

It is a super-3 number, since 3×106140672000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304127826 + ... + 304128174.

It is an arithmetic number, because the mean of its divisors is an integer number (479202750).

Almost surely, 2^106140672000 is an apocalyptic number.

106140672000 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 106140672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214682832000).

106140672000 is an abundant number, since it is smaller than the sum of its proper divisors (323224992000).

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

106140672000 is an equidigital number, since it uses as much as digits as its factorization.

106140672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 106140672000 in words is "one hundred six billion, one hundred forty million, six hundred seventy-two thousand".