100350432 has 216 divisors, whose sum is σ = 358151976. Its totient is φ = 26417664.

The previous prime is 100350431. The next prime is 100350451. The reversal of 100350432 is 234053001.

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 (100350431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183183 + ... + 183729.

It is an arithmetic number, because the mean of its divisors is an integer number (1658111).

Almost surely, 2^100350432 is an apocalyptic number.

100350432 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 100350432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179075988).

100350432 is an abundant number, since it is smaller than the sum of its proper divisors (257801544).

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

100350432 is a wasteful number, since it uses less digits than its factorization.

100350432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 100350432 is about 10017.5062765141. The cubic root of 100350432 is about 464.7004383451.

The spelling of 100350432 in words is "one hundred million, three hundred fifty thousand, four hundred thirty-two".