103496952 has 192 divisors, whose sum is σ = 316224000. Its totient is φ = 28035072.

The previous prime is 103496947. The next prime is 103496983. The reversal of 103496952 is 259694301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103496952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1310049 + ... + 1310127.

It is an arithmetic number, because the mean of its divisors is an integer number (1647000).

Almost surely, 2^103496952 is an apocalyptic number.

103496952 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 103496952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158112000).

103496952 is an abundant number, since it is smaller than the sum of its proper divisors (212727048).

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

103496952 is a wasteful number, since it uses less digits than its factorization.

103496952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 103496952 is about 10173.3451725575. The cubic root of 103496952 is about 469.5074846746.

The spelling of 103496952 in words is "one hundred three million, four hundred ninety-six thousand, nine hundred fifty-two".