33145440100 has 36 divisors (see below), whose sum is σ = 71948715300. Its totient is φ = 13253916160.

The previous prime is 33145440091. The next prime is 33145440101. The reversal of 33145440100 is 104454133.

It can be written as a sum of positive squares in 6 ways, for example, as 5541611364 + 27603828736 = 74442^2 + 166144^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (33145440101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269256 + ... + 372544.

It is an arithmetic number, because the mean of its divisors is an integer number (1998575425).

Almost surely, 2^33145440100 is an apocalyptic number.

It is an amenable number.

33145440100 is an abundant number, since it is smaller than the sum of its proper divisors (38803275200).

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

33145440100 is a wasteful number, since it uses less digits than its factorization.

33145440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106512 (or 106505 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 33145440100 its reverse (104454133), we get a palindrome (33249894233).

The spelling of 33145440100 in words is "thirty-three billion, one hundred forty-five million, four hundred forty thousand, one hundred".