100147040800 has 72 divisors (see below), whose sum is σ = 258865408116. Its totient is φ = 37702410240.

The previous prime is 100147040729. The next prime is 100147040809. The reversal of 100147040800 is 8040741001.

100147040800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 57004427536 + 43142613264 = 238756^2 + 207708^2 .

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 (100147040809) 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, 3668277 + ... + 3695476.

Almost surely, 2^100147040800 is an apocalyptic number.

100147040800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100147040800 is an abundant number, since it is smaller than the sum of its proper divisors (158718367316).

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

100147040800 is a wasteful number, since it uses less digits than its factorization.

100147040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7363790 (or 7363777 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

Adding to 100147040800 its reverse (8040741001), we get a palindrome (108187781801).

The spelling of 100147040800 in words is "one hundred billion, one hundred forty-seven million, forty thousand, eight hundred".