103631213664 has 144 divisors (see below), whose sum is σ = 324614594304. Its totient is φ = 31098412800.

The previous prime is 103631213641. The next prime is 103631213713. The reversal of 103631213664 is 466312136301.

103631213664 is a `hidden beast` number, since 1 + 0 + 3 + 631 + 2 + 13 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×103631213664³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167509 + ... + 485099.

It is an arithmetic number, because the mean of its divisors is an integer number (2254268016).

Almost surely, 2^103631213664 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 103631213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162307297152).

103631213664 is an abundant number, since it is smaller than the sum of its proper divisors (220983380640).

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

103631213664 is a wasteful number, since it uses less digits than its factorization.

103631213664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317721 (or 317710 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 103631213664 its reverse (466312136301), we get a palindrome (569943349965).

The spelling of 103631213664 in words is "one hundred three billion, six hundred thirty-one million, two hundred thirteen thousand, six hundred sixty-four".