100401140250 has 160 divisors (see below), whose sum is σ = 281104336656. Its totient is φ = 26741404800.

The previous prime is 100401140239. The next prime is 100401140303. The reversal of 100401140250 is 52041104001.

100401140250 is a `hidden beast` number, since 1 + 0 + 0 + 401 + 14 + 0 + 250 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19533137121 + 80868003129 = 139761^2 + 284373^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20186764 + ... + 20191736.

Almost surely, 2^100401140250 is an apocalyptic number.

100401140250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100401140250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140552168328).

100401140250 is an abundant number, since it is smaller than the sum of its proper divisors (180703196406).

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

100401140250 is an equidigital number, since it uses as much as digits as its factorization.

100401140250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 100401140250 its reverse (52041104001), we get a palindrome (152442244251).

The spelling of 100401140250 in words is "one hundred billion, four hundred one million, one hundred forty thousand, two hundred fifty".