103852913472 has 336 divisors, whose sum is σ = 387267858432. Its totient is φ = 25801712640.

The previous prime is 103852913467. The next prime is 103852913477. The reversal of 103852913472 is 274319258301.

It is a happy number.

103852913472 is a `hidden beast` number, since 10 + 3 + 8 + 5 + 291 + 347 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (103852913467) and next prime (103852913477).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103852913477) 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, 969193 + ... + 1070999.

It is an arithmetic number, because the mean of its divisors is an integer number (1152582912).

Almost surely, 2^103852913472 is an apocalyptic number.

103852913472 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 103852913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193633929216).

103852913472 is an abundant number, since it is smaller than the sum of its proper divisors (283414944960).

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

103852913472 is a wasteful number, since it uses less digits than its factorization.

103852913472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101866 (or 101853 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 103852913472 in words is "one hundred three billion, eight hundred fifty-two million, nine hundred thirteen thousand, four hundred seventy-two".