103861505359872 has 1152 divisors, whose sum is σ = 343216238238720. Its totient is φ = 31224697454592.

The previous prime is 103861505359853. The next prime is 103861505359973. The reversal of 103861505359872 is 278953505168301.

103861505359872 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 6 + 1 + 5 + 0 + 535 + 98 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175145877208 + ... + 175145877800.

It is an arithmetic number, because the mean of its divisors is an integer number (297930762360).

Almost surely, 2^{103861505359872} is an apocalyptic number.

103861505359872 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 103861505359872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171608119119360).

103861505359872 is an abundant number, since it is smaller than the sum of its proper divisors (239354732878848).

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

103861505359872 is an frugal number, since it uses more digits than its factorization.

103861505359872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 103861505359872 in words is "one hundred three trillion, eight hundred sixty-one billion, five hundred five million, three hundred fifty-nine thousand, eight hundred seventy-two".