100413432 has 192 divisors, whose sum is σ = 331269120. Its totient is φ = 27900288.

The previous prime is 100413431. The next prime is 100413437. The reversal of 100413432 is 234314001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639498 + ... + 639654.

It is an arithmetic number, because the mean of its divisors is an integer number (1725360).

Almost surely, 2^100413432 is an apocalyptic number.

100413432 is a gapful number since it is divisible by the number (12) 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 100413432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165634560).

100413432 is an abundant number, since it is smaller than the sum of its proper divisors (230855688).

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

100413432 is a wasteful number, since it uses less digits than its factorization.

100413432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100413432 is about 10020.6502783003. The cubic root of 100413432 is about 464.7976643116.

Adding to 100413432 its reverse (234314001), we get a palindrome (334727433).

The spelling of 100413432 in words is "one hundred million, four hundred thirteen thousand, four hundred thirty-two".