103479936 has 128 divisors (see below), whose sum is σ = 317554560. Its totient is φ = 29245440.

The previous prime is 103479899. The next prime is 103479977. The reversal of 103479936 is 639974301.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368116 + ... + 368396.

It is an arithmetic number, because the mean of its divisors is an integer number (2480895).

Almost surely, 2^103479936 is an apocalyptic number.

103479936 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 103479936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158777280).

103479936 is an abundant number, since it is smaller than the sum of its proper divisors (214074624).

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

103479936 is a wasteful number, since it uses less digits than its factorization.

103479936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 103479936 is about 10172.5088350908. The cubic root of 103479936 is about 469.4817525892.

The spelling of 103479936 in words is "one hundred three million, four hundred seventy-nine thousand, nine hundred thirty-six".