10102400 has 192 divisors, whose sum is σ = 31872960. Its totient is φ = 3072000.

The previous prime is 10102387. The next prime is 10102423. The reversal of 10102400 is 420101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246380 + ... + 246420.

It is an arithmetic number, because the mean of its divisors is an integer number (166005).

Almost surely, 2^10102400 is an apocalyptic number.

10102400 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 10102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

10102400 is an abundant number, since it is smaller than the sum of its proper divisors (21770560).

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

10102400 is a wasteful number, since it uses less digits than its factorization.

10102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

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

The square root of 10102400 is about 3178.4272840510. The cubic root of 10102400 is about 216.1763534620.

Adding to 10102400 its reverse (420101), we get a palindrome (10522501).

The spelling of 10102400 in words is "ten million, one hundred two thousand, four hundred".