100148400 has 300 divisors, whose sum is σ = 393494904. Its totient is φ = 24192000.

The previous prime is 100148393. The next prime is 100148423. The reversal of 100148400 is 4841001.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 356260 + ... + 356540.

Almost surely, 2^100148400 is an apocalyptic number.

100148400 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 100148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196747452).

100148400 is an abundant number, since it is smaller than the sum of its proper divisors (293346504).

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

100148400 is a wasteful number, since it uses less digits than its factorization.

100148400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 100148400 is about 10007.4172492207. The cubic root of 100148400 is about 464.3883738051.

Adding to 100148400 its reverse (4841001), we get a palindrome (104989401).

The spelling of 100148400 in words is "one hundred million, one hundred forty-eight thousand, four hundred".