106710670080 has 1512 divisors, whose sum is σ = 479185924896. Its totient is φ = 22215720960.

The previous prime is 106710670039. The next prime is 106710670081. The reversal of 106710670080 is 80076017601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×106710670080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106710670081) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3442279665 + ... + 3442279695.

It is an arithmetic number, because the mean of its divisors is an integer number (316921908).

Almost surely, 2^106710670080 is an apocalyptic number.

106710670080 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 106710670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239592962448).

106710670080 is an abundant number, since it is smaller than the sum of its proper divisors (372475254816).

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

106710670080 is an frugal number, since it uses more digits than its factorization.

106710670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 106710670080 its reverse (80076017601), we get a palindrome (186786687681).

The spelling of 106710670080 in words is "one hundred six billion, seven hundred ten million, six hundred seventy thousand, eighty".