102400000 has 96 divisors (see below), whose sum is σ = 255979710. Its totient is φ = 40960000.

The previous prime is 102399989. The next prime is 102400007. The reversal of 102400000 is 4201.

It is a perfect power (a 5-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 102252544 = 384^2 + 10112^2 .

It is a hoax number, since the sum of its digits (7) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102400007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20479998 + ... + 20480002.

Almost surely, 2^102400000 is an apocalyptic number.

102400000 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 102400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127989855).

102400000 is an abundant number, since it is smaller than the sum of its proper divisors (153579710).

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

102400000 is an frugal number, since it uses more digits than its factorization.

102400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 102400000 is about 10119.2885125388. The cubic root of 102400000 is about 467.8428381141.

Adding to 102400000 its reverse (4201), we get a palindrome (102404201).

The spelling of 102400000 in words is "one hundred two million, four hundred thousand".