100094400 has 336 divisors, whose sum is σ = 418266880. Its totient is φ = 22809600.

The previous prime is 100094387. The next prime is 100094429. The reversal of 100094400 is 4490001.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×100094400² = 20037777822720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 302235 + ... + 302565.

Almost surely, 2^100094400 is an apocalyptic number.

100094400 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 100094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209133440).

100094400 is an abundant number, since it is smaller than the sum of its proper divisors (318172480).

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

100094400 is a wasteful number, since it uses less digits than its factorization.

100094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100094400 is about 10004.7188866055. The cubic root of 100094400 is about 464.3048927553.

The spelling of 100094400 in words is "one hundred million, ninety-four thousand, four hundred".