103630565376 has 312 divisors, whose sum is σ = 334348101360. Its totient is φ = 31882346496.

The previous prime is 103630565341. The next prime is 103630565449. The reversal of 103630565376 is 673565036301.

103630565376 is a `hidden beast` number, since 1 + 0 + 3 + 63 + 0 + 56 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-3 number, since 3×103630565376³ (a number of 34 digits) contains 333 as substring.

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, 12935260 + ... + 12943268.

It is an arithmetic number, because the mean of its divisors is an integer number (1071628530).

Almost surely, 2^103630565376 is an apocalyptic number.

103630565376 is a gapful number since it is divisible by the number (16) 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 103630565376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167174050680).

103630565376 is an abundant number, since it is smaller than the sum of its proper divisors (230717535984).

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

103630565376 is an frugal number, since it uses more digits than its factorization.

103630565376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8061 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 103630565376 in words is "one hundred three billion, six hundred thirty million, five hundred sixty-five thousand, three hundred seventy-six".