235001404100 has 72 divisors (see below), whose sum is σ = 524177341128. Its totient is φ = 91382860800.

The previous prime is 235001404007. The next prime is 235001404109. The reversal of 235001404100 is 1404100532.

It can be written as a sum of positive squares in 12 ways, for example, as 135830576704 + 99170827396 = 368552^2 + 314914^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (235001404109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4461920 + ... + 4514280.

It is an arithmetic number, because the mean of its divisors is an integer number (7280240849).

Almost surely, 2^235001404100 is an apocalyptic number.

235001404100 is a gapful number since it is divisible by the number (20) 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 235001404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262088670564).

235001404100 is an abundant number, since it is smaller than the sum of its proper divisors (289175937028).

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

235001404100 is a wasteful number, since it uses less digits than its factorization.

235001404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53625 (or 53618 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 235001404100 its reverse (1404100532), we get a palindrome (236405504632).

The spelling of 235001404100 in words is "two hundred thirty-five billion, one million, four hundred four thousand, one hundred".