106320707200000 has 132 divisors (see below), whose sum is σ = 265654986969204. Its totient is φ = 42528281600000.

The previous prime is 106320707199979. The next prime is 106320707200031. The reversal of 106320707200000 is 2707023601.

It can be written as a sum of positive squares in 6 ways, for example, as 52630033678336 + 53690673521664 = 7254656^2 + 7327392^2 .

It is a super-2 number, since 2×106320707200000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13412611 + ... + 19812610.

Almost surely, 2^{106320707200000} is an apocalyptic number.

106320707200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106320707200000 is an abundant number, since it is smaller than the sum of its proper divisors (159334279769204).

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

106320707200000 is an frugal number, since it uses more digits than its factorization.

106320707200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33225266 (or 33225228 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The spelling of 106320707200000 in words is "one hundred six trillion, three hundred twenty billion, seven hundred seven million, two hundred thousand".