103432896 has 224 divisors, whose sum is σ = 368686080. Its totient is φ = 27758592.

The previous prime is 103432891. The next prime is 103432933. The reversal of 103432896 is 698234301.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103432896.

It is not an unprimeable number, because it can be changed into a prime (103432891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205381 + ... + 205883.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 2^103432896 is an apocalyptic number.

103432896 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 103432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

103432896 is an abundant number, since it is smaller than the sum of its proper divisors (265253184).

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

103432896 is a wasteful number, since it uses less digits than its factorization.

103432896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 103432896 is about 10170.1964582795. The cubic root of 103432896 is about 469.4106026648.

It can be divided in two parts, 1034 and 32896, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 103432896 in words is "one hundred three million, four hundred thirty-two thousand, eight hundred ninety-six".