106320936960 has 1080 divisors, whose sum is σ = 448700812560. Its totient is φ = 24078974976.

The previous prime is 106320936923. The next prime is 106320936973. The reversal of 106320936960 is 69639023601.

It is a happy number.

106320936960 is a `hidden beast` number, since 1 + 0 + 632 + 0 + 9 + 3 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×106320936960² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 975421386 + ... + 975421494.

Almost surely, 2^106320936960 is an apocalyptic number.

106320936960 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 106320936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224350406280).

106320936960 is an abundant number, since it is smaller than the sum of its proper divisors (342379875600).

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

106320936960 is an frugal number, since it uses more digits than its factorization.

106320936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 106320936960 in words is "one hundred six billion, three hundred twenty million, nine hundred thirty-six thousand, nine hundred sixty".