103969632 has 96 divisors (see below), whose sum is σ = 296013312. Its totient is φ = 31762944.

The previous prime is 103969601. The next prime is 103969633. The reversal of 103969632 is 236969301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103969633) 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, 283113 + ... + 283479.

It is an arithmetic number, because the mean of its divisors is an integer number (3083472).

Almost surely, 2^103969632 is an apocalyptic number.

103969632 is a gapful number since it is divisible by the number (12) 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 103969632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148006656).

103969632 is an abundant number, since it is smaller than the sum of its proper divisors (192043680).

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

103969632 is a wasteful number, since it uses less digits than its factorization.

103969632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 103969632 is about 10196.5500047810. The cubic root of 103969632 is about 470.2211604396.

The spelling of 103969632 in words is "one hundred three million, nine hundred sixty-nine thousand, six hundred thirty-two".