40130100 has 144 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 10517760.

The previous prime is 40130093. The next prime is 40130107. The reversal of 40130100 is 103104.

It is an interprime number because it is at equal distance from previous prime (40130093) and next prime (40130107).

It is a super-2 number, since 2×40130100² = 3220849852020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240217 + ... + 240383.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^40130100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

40130100 is an abundant number, since it is smaller than the sum of its proper divisors (91111500).

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

40130100 is a wasteful number, since it uses less digits than its factorization.

40130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 40130100 is about 6334.8322787585. The cubic root of 40130100 is about 342.3655678575.

Adding to 40130100 its reverse (103104), we get a palindrome (40233204).

The spelling of 40130100 in words is "forty million, one hundred thirty thousand, one hundred".