100742400 has 432 divisors, whose sum is σ = 410598720. Its totient is φ = 23961600.

The previous prime is 100742381. The next prime is 100742401. The reversal of 100742400 is 4247001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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 (100742401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900774 + ... + 1900826.

It is an arithmetic number, because the mean of its divisors is an integer number (950460).

Almost surely, 2^100742400 is an apocalyptic number.

100742400 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 100742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205299360).

100742400 is an abundant number, since it is smaller than the sum of its proper divisors (309856320).

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

100742400 is a wasteful number, since it uses less digits than its factorization.

100742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 100742400 is about 10037.0513598367. The cubic root of 100742400 is about 465.3046910465.

Adding to 100742400 its reverse (4247001), we get a palindrome (104989401).

The spelling of 100742400 in words is "one hundred million, seven hundred forty-two thousand, four hundred".