10100431404 has 120 divisors (see below), whose sum is σ = 30224402208. Its totient is φ = 2881267200.

The previous prime is 10100431399. The next prime is 10100431409. The reversal of 10100431404 is 40413400101.

It is an interprime number because it is at equal distance from previous prime (10100431399) and next prime (10100431409).

It is a super-2 number, since 2×10100431404² (a number of 21 digits) contains 22 as substring.

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 (10100431409) 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 39 ways as a sum of consecutive naturals, for example, 1586692 + ... + 1593044.

Almost surely, 2^10100431404 is an apocalyptic number.

10100431404 is a gapful number since it is divisible by the number (14) 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 10100431404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15112201104).

10100431404 is an abundant number, since it is smaller than the sum of its proper divisors (20123970804).

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

10100431404 is a wasteful number, since it uses less digits than its factorization.

10100431404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10100431404 its reverse (40413400101), we get a palindrome (50513831505).

The spelling of 10100431404 in words is "ten billion, one hundred million, four hundred thirty-one thousand, four hundred four".