100432102200 has 192 divisors, whose sum is σ = 316430699520. Its totient is φ = 26345088000.

The previous prime is 100432102187. The next prime is 100432102213. The reversal of 100432102200 is 2201234001.

It is an interprime number because it is at equal distance from previous prime (100432102187) and next prime (100432102213).

It is a super-2 number, since 2×100432102200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100432102200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39836940 + ... + 39839460.

It is an arithmetic number, because the mean of its divisors is an integer number (1648076560).

Almost surely, 2^100432102200 is an apocalyptic number.

100432102200 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 100432102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158215349760).

100432102200 is an abundant number, since it is smaller than the sum of its proper divisors (215998597320).

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

100432102200 is a wasteful number, since it uses less digits than its factorization.

100432102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100432102200 its reverse (2201234001), we get a palindrome (102633336201).

The spelling of 100432102200 in words is "one hundred billion, four hundred thirty-two million, one hundred two thousand, two hundred".