102400704 has 168 divisors, whose sum is σ = 339973920. Its totient is φ = 28864512.

The previous prime is 102400703. The next prime is 102400751. The reversal of 102400704 is 407004201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (102400703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439372 + ... + 439604.

Almost surely, 2^102400704 is an apocalyptic number.

102400704 is a gapful number since it is divisible by the number (14) 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 102400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169986960).

102400704 is an abundant number, since it is smaller than the sum of its proper divisors (237573216).

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

102400704 is a wasteful number, since it uses less digits than its factorization.

102400704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

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

The square root of 102400704 is about 10119.3232975333. The cubic root of 102400704 is about 467.8439102514.

Adding to 102400704 its reverse (407004201), we get a palindrome (509404905).

The spelling of 102400704 in words is "one hundred two million, four hundred thousand, seven hundred four".