100450350 has 288 divisors, whose sum is σ = 363976704. Its totient is φ = 19180800.

The previous prime is 100450349. The next prime is 100450351. The reversal of 100450350 is 53054001.

It is an interprime number because it is at equal distance from previous prime (100450349) and next prime (100450351).

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 (100450351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 450339 + ... + 450561.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 2^100450350 is an apocalyptic number.

100450350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100450350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

100450350 is an abundant number, since it is smaller than the sum of its proper divisors (263526354).

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

100450350 is a wasteful number, since it uses less digits than its factorization.

100450350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 100450350 is about 10022.4922050356. The cubic root of 100450350 is about 464.8546198315.

The spelling of 100450350 in words is "one hundred million, four hundred fifty thousand, three hundred fifty".