100638450 has 168 divisors, whose sum is σ = 307386576. Its totient is φ = 24300000.

The previous prime is 100638449. The next prime is 100638451. The reversal of 100638450 is 54836001.

It is an interprime number because it is at equal distance from previous prime (100638449) and next prime (100638451).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100638451) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 400825 + ... + 401075.

It is an arithmetic number, because the mean of its divisors is an integer number (1829682).

Almost surely, 2^100638450 is an apocalyptic number.

100638450 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 100638450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153693288).

100638450 is an abundant number, since it is smaller than the sum of its proper divisors (206748126).

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

100638450 is a wasteful number, since it uses less digits than its factorization.

100638450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100638450 is about 10031.8717097060. The cubic root of 100638450 is about 465.1445960308.

The spelling of 100638450 in words is "one hundred million, six hundred thirty-eight thousand, four hundred fifty".