102400896 has 128 divisors (see below), whose sum is σ = 297995040. Its totient is φ = 30965760.

The previous prime is 102400889. The next prime is 102400897. The reversal of 102400896 is 698004201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364276 + ... + 364556.

Almost surely, 2^102400896 is an apocalyptic number.

102400896 is a gapful number since it is divisible by the number (16) 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 102400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148997520).

102400896 is an abundant number, since it is smaller than the sum of its proper divisors (195594144).

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

102400896 is a wasteful number, since it uses less digits than its factorization.

102400896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 102400896 is about 10119.3327843292. The cubic root of 102400896 is about 467.8442026517.

The spelling of 102400896 in words is "one hundred two million, four hundred thousand, eight hundred ninety-six".