103752953856 has 624 divisors, whose sum is σ = 331153611360. Its totient is φ = 31213486080.

The previous prime is 103752953851. The next prime is 103752953873. The reversal of 103752953856 is 658359257301.

103752953856 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 52 + 9 + 538 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103752953851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1700868066 + ... + 1700868126.

It is an arithmetic number, because the mean of its divisors is an integer number (530694890).

Almost surely, 2^103752953856 is an apocalyptic number.

103752953856 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 103752953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165576805680).

103752953856 is an abundant number, since it is smaller than the sum of its proper divisors (227400657504).

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

103752953856 is a wasteful number, since it uses less digits than its factorization.

103752953856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 103752953856 in words is "one hundred three billion, seven hundred fifty-two million, nine hundred fifty-three thousand, eight hundred fifty-six".