100414433000 has 128 divisors (see below), whose sum is σ = 268828485120. Its totient is φ = 34390425600.

The previous prime is 100414432939. The next prime is 100414433003. The reversal of 100414433000 is 334414001.

It is a happy number.

It is a super-2 number, since 2×100414433000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (100414433003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6873704 + ... + 6888296.

It is an arithmetic number, because the mean of its divisors is an integer number (2100222540).

Almost surely, 2^100414433000 is an apocalyptic number.

100414433000 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 100414433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134414242560).

100414433000 is an abundant number, since it is smaller than the sum of its proper divisors (168414052120).

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

100414433000 is a wasteful number, since it uses less digits than its factorization.

100414433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15604 (or 15590 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100414433000 its reverse (334414001), we get a palindrome (100748847001).

The spelling of 100414433000 in words is "one hundred billion, four hundred fourteen million, four hundred thirty-three thousand".