103152188373696 has 5376 divisors, whose sum is σ = 446376430080000. Its totient is φ = 23176013414400.

The previous prime is 103152188373667. The next prime is 103152188373721. The reversal of 103152188373696 is 696373881251301.

103152188373696 is a `hidden beast` number, since 1 + 0 + 31 + 52 + 188 + 373 + 6 + 9 + 6 = 666.

103152188373696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1413043676316 + ... + 1413043676388.

It is an arithmetic number, because the mean of its divisors is an integer number (83031330000).

Almost surely, 2^{103152188373696} is an apocalyptic number.

103152188373696 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 103152188373696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223188215040000).

103152188373696 is an abundant number, since it is smaller than the sum of its proper divisors (343224241706304).

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

103152188373696 is a wasteful number, since it uses less digits than its factorization.

103152188373696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 103152188373696 in words is "one hundred three trillion, one hundred fifty-two billion, one hundred eighty-eight million, three hundred seventy-three thousand, six hundred ninety-six".