103836965364 has 480 divisors, whose sum is σ = 320707537920. Its totient is φ = 28979596800.

The previous prime is 103836965357. The next prime is 103836965411. The reversal of 103836965364 is 463569638301.

103836965364 is a `hidden beast` number, since 10 + 3 + 8 + 3 + 6 + 96 + 536 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 103836965364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 313706679 + ... + 313707009.

It is an arithmetic number, because the mean of its divisors is an integer number (668140704).

Almost surely, 2^103836965364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103836965364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160353768960).

103836965364 is an abundant number, since it is smaller than the sum of its proper divisors (216870572556).

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

103836965364 is a wasteful number, since it uses less digits than its factorization.

103836965364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 103836965364 in words is "one hundred three billion, eight hundred thirty-six million, nine hundred sixty-five thousand, three hundred sixty-four".