106465320640 has 224 divisors, whose sum is σ = 311987427840. Its totient is φ = 33772191744.

The previous prime is 106465320593. The next prime is 106465320641. The reversal of 106465320640 is 46023564601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×106465320640² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106465320640.

It is not an unprimeable number, because it can be changed into a prime (106465320641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2223027 + ... + 2270413.

Almost surely, 2^106465320640 is an apocalyptic number.

106465320640 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 106465320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155993713920).

106465320640 is an abundant number, since it is smaller than the sum of its proper divisors (205522107200).

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

106465320640 is a wasteful number, since it uses less digits than its factorization.

106465320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47487 (or 47477 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 106465320640 in words is "one hundred six billion, four hundred sixty-five million, three hundred twenty thousand, six hundred forty".