106289072640 has 320 divisors, whose sum is σ = 378301144320. Its totient is φ = 28287221760.

The previous prime is 106289072599. The next prime is 106289072641. The reversal of 106289072640 is 46270982601.

It is a happy number.

106289072640 is a `hidden beast` number, since 10 + 628 + 9 + 0 + 7 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×106289072640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106289072641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43613502 + ... + 43615938.

It is an arithmetic number, because the mean of its divisors is an integer number (1182191076).

Almost surely, 2^106289072640 is an apocalyptic number.

106289072640 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 106289072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189150572160).

106289072640 is an abundant number, since it is smaller than the sum of its proper divisors (272012071680).

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

106289072640 is an equidigital number, since it uses as much as digits as its factorization.

106289072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 106289072640 in words is "one hundred six billion, two hundred eighty-nine million, seventy-two thousand, six hundred forty".