103249536 has 192 divisors, whose sum is σ = 312095520. Its totient is φ = 30191616.

The previous prime is 103249513. The next prime is 103249571. The reversal of 103249536 is 635942301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 103249497 and 103249506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2401131 + ... + 2401173.

Almost surely, 2^103249536 is an apocalyptic number.

103249536 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 103249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156047760).

103249536 is an abundant number, since it is smaller than the sum of its proper divisors (208845984).

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

103249536 is a wasteful number, since it uses less digits than its factorization.

103249536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 103249536 is about 10161.1778844778. The cubic root of 103249536 is about 469.1330570538.

The spelling of 103249536 in words is "one hundred three million, two hundred forty-nine thousand, five hundred thirty-six".