106316103200 has 72 divisors (see below), whose sum is σ = 259599986100. Its totient is φ = 42517299200.

The previous prime is 106316103151. The next prime is 106316103221. The reversal of 106316103200 is 2301613601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25129858576 + 81186244624 = 158524^2 + 284932^2 .

It is a super-2 number, since 2×106316103200² (a number of 23 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, 4667840 + ... + 4690560.

Almost surely, 2^106316103200 is an apocalyptic number.

106316103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106316103200 is an abundant number, since it is smaller than the sum of its proper divisors (153283882900).

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

106316103200 is a wasteful number, since it uses less digits than its factorization.

106316103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28590 (or 28577 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 106316103200 its reverse (2301613601), we get a palindrome (108617716801).

The spelling of 106316103200 in words is "one hundred six billion, three hundred sixteen million, one hundred three thousand, two hundred".