100102400 has 54 divisors (see below), whose sum is σ = 247784922. Its totient is φ = 40038400.

The previous prime is 100102397. The next prime is 100102421. The reversal of 100102400 is 4201001.

It can be written as a sum of positive squares in 3 ways, for example, as 32993536 + 67108864 = 5744^2 + 8192^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1421 + ... + 14220.

Almost surely, 2^100102400 is an apocalyptic number.

100102400 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 100102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123892461).

100102400 is an abundant number, since it is smaller than the sum of its proper divisors (147682522).

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

100102400 is an equidigital number, since it uses as much as digits as its factorization.

100102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15667 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 100102400 is about 10005.1186899507. The cubic root of 100102400 is about 464.3172622124.

Adding to 100102400 its reverse (4201001), we get a palindrome (104303401).

It can be divided in two parts, 100 and 102400, that multiplied together give a square (10240000 = 3200²).

The spelling of 100102400 in words is "one hundred million, one hundred two thousand, four hundred".