103806296244 has 576 divisors, whose sum is σ = 342725160960. Its totient is φ = 25811343360.

The previous prime is 103806296219. The next prime is 103806296261. The reversal of 103806296244 is 442692608301.

103806296244 is a `hidden beast` number, since 1 + 0 + 380 + 6 + 29 + 6 + 244 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 103806296244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 374751834 + ... + 374752110.

It is an arithmetic number, because the mean of its divisors is an integer number (595008960).

Almost surely, 2^103806296244 is an apocalyptic number.

103806296244 is a gapful number since it is divisible by the number (14) 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 103806296244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171362580480).

103806296244 is an abundant number, since it is smaller than the sum of its proper divisors (238918864716).

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

103806296244 is a wasteful number, since it uses less digits than its factorization.

103806296244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 103806296244 in words is "one hundred three billion, eight hundred six million, two hundred ninety-six thousand, two hundred forty-four".