16275140100 has 108 divisors (see below), whose sum is σ = 51100101780. Its totient is φ = 4332672000.

The previous prime is 16275140071. The next prime is 16275140129. The reversal of 16275140100 is 104157261.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16275140071) and next prime (16275140129).

It can be written as a sum of positive squares in 6 ways, for example, as 28068804 + 16247071296 = 5298^2 + 127464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 525856 + ... + 555944.

Almost surely, 2^16275140100 is an apocalyptic number.

16275140100 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 16275140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25550050890).

16275140100 is an abundant number, since it is smaller than the sum of its proper divisors (34824961680).

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

16275140100 is a wasteful number, since it uses less digits than its factorization.

16275140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30710 (or 30700 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 16275140100 its reverse (104157261), we get a palindrome (16379297361).

The spelling of 16275140100 in words is "sixteen billion, two hundred seventy-five million, one hundred forty thousand, one hundred".