103429656 has 128 divisors (see below), whose sum is σ = 317260800. Its totient is φ = 30960000.

The previous prime is 103429639. The next prime is 103429661. The reversal of 103429656 is 656924301.

It is a happy number.

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 103429656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239761 + ... + 240191.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 2^103429656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103429656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400).

103429656 is an abundant number, since it is smaller than the sum of its proper divisors (213831144).

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

103429656 is a wasteful number, since it uses less digits than its factorization.

103429656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 103429656 is about 10170.0371680737. The cubic root of 103429656 is about 469.4057012382.

The spelling of 103429656 in words is "one hundred three million, four hundred twenty-nine thousand, six hundred fifty-six".