100131840 has 264 divisors, whose sum is σ = 362122488. Its totient is φ = 25559040.

The previous prime is 100131833. The next prime is 100131841. The reversal of 100131840 is 48131001.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 97772544 = 1536^2 + 9888^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100131841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889254 + ... + 1889306.

Almost surely, 2^100131840 is an apocalyptic number.

100131840 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 100131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181061244).

100131840 is an abundant number, since it is smaller than the sum of its proper divisors (261990648).

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

100131840 is a wasteful number, since it uses less digits than its factorization.

100131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100131840 is about 10006.5898287079. The cubic root of 100131840 is about 464.3627761407.

Adding to 100131840 its reverse (48131001), we get a palindrome (148262841).

The spelling of 100131840 in words is "one hundred million, one hundred thirty-one thousand, eight hundred forty".