103888163400 has 576 divisors, whose sum is σ = 393883807680. Its totient is φ = 22556620800.

The previous prime is 103888163381. The next prime is 103888163413. The reversal of 103888163400 is 4361888301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46774290 + ... + 46776510.

It is an arithmetic number, because the mean of its divisors is an integer number (683826055).

Almost surely, 2^103888163400 is an apocalyptic number.

103888163400 is a gapful number since it is divisible by the number (10) 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 103888163400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196941903840).

103888163400 is an abundant number, since it is smaller than the sum of its proper divisors (289995644280).

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

103888163400 is a wasteful number, since it uses less digits than its factorization.

103888163400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 103888163400 in words is "one hundred three billion, eight hundred eighty-eight million, one hundred sixty-three thousand, four hundred".