106728700360 has 64 divisors (see below), whose sum is σ = 243223812720. Its totient is φ = 42145382400.

The previous prime is 106728700307. The next prime is 106728700363. The reversal of 106728700360 is 63007827601.

It can be written as a sum of positive squares in 8 ways, for example, as 55976720836 + 50751979524 = 236594^2 + 225282^2 .

It is a super-2 number, since 2×106728700360² (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 (106728700363) 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, 1521582 + ... + 1590178.

Almost surely, 2^106728700360 is an apocalyptic number.

106728700360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106728700360 is an abundant number, since it is smaller than the sum of its proper divisors (136495112360).

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

106728700360 is a wasteful number, since it uses less digits than its factorization.

106728700360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69106 (or 69102 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 106728700360 in words is "one hundred six billion, seven hundred twenty-eight million, seven hundred thousand, three hundred sixty".