106465065160 has 64 divisors (see below), whose sum is σ = 243001555200. Its totient is φ = 41972179200.

The previous prime is 106465065137. The next prime is 106465065169. The reversal of 106465065160 is 61560564601.

It is a super-2 number, since 2×106465065160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (106465065169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13966150 + ... + 13973770.

It is an arithmetic number, because the mean of its divisors is an integer number (3796899300).

Almost surely, 2^106465065160 is an apocalyptic number.

106465065160 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 106465065160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121500777600).

106465065160 is an abundant number, since it is smaller than the sum of its proper divisors (136536490040).

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

106465065160 is a wasteful number, since it uses less digits than its factorization.

106465065160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12622 (or 12618 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 106465065160 in words is "one hundred six billion, four hundred sixty-five million, sixty-five thousand, one hundred sixty".