103105396628388 has 384 divisors, whose sum is σ = 334254903091200. Its totient is φ = 26701530508800.

The previous prime is 103105396628293. The next prime is 103105396628401. The reversal of 103105396628388 is 883826693501301.

103105396628388 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 0 + 539 + 6 + 62 + 8 + 38 + 8 = 666.

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 127 ways as a sum of consecutive naturals, for example, 12185954478 + ... + 12185962938.

It is an arithmetic number, because the mean of its divisors is an integer number (870455476800).

Almost surely, 2^{103105396628388} is an apocalyptic number.

103105396628388 is a gapful number since it is divisible by the number (18) 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 103105396628388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167127451545600).

103105396628388 is an abundant number, since it is smaller than the sum of its proper divisors (231149506462812).

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

103105396628388 is a wasteful number, since it uses less digits than its factorization.

103105396628388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12648 (or 12640 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 103105396628388 in words is "one hundred three trillion, one hundred five billion, three hundred ninety-six million, six hundred twenty-eight thousand, three hundred eighty-eight".