102736896 has 88 divisors (see below), whose sum is σ = 279440064. Its totient is φ = 33546240.

The previous prime is 102736891. The next prime is 102736943. The reversal of 102736896 is 698637201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102736891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162501 + ... + 163131.

Almost surely, 2^102736896 is an apocalyptic number.

102736896 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 102736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139720032).

102736896 is an abundant number, since it is smaller than the sum of its proper divisors (176703168).

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

102736896 is an equidigital number, since it uses as much as digits as its factorization.

102736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 102736896 is about 10135.9210730944. The cubic root of 102736896 is about 468.3553441218.

The spelling of 102736896 in words is "one hundred two million, seven hundred thirty-six thousand, eight hundred ninety-six".