103031632105164 has 72 divisors (see below), whose sum is σ = 303262917179040. Its totient is φ = 28882182580992.

The previous prime is 103031632105153. The next prime is 103031632105229. The reversal of 103031632105164 is 461501236130301.

103031632105164 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 3 + 1 + 632 + 1 + 0 + 5 + 16 + 4 = 666.

It is a super-2 number, since 2×103031632105164² (a number of 29 digits) contains 22 as substring.

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

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, 3857115729 + ... + 3857142440.

It is an arithmetic number, because the mean of its divisors is an integer number (4211984960820).

Almost surely, 2^{103031632105164} is an apocalyptic number.

103031632105164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103031632105164 is an abundant number, since it is smaller than the sum of its proper divisors (200231285073876).

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

103031632105164 is a wasteful number, since it uses less digits than its factorization.

103031632105164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714258239 (or 7714258234 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 103031632105164 its reverse (461501236130301), we get a palindrome (564532868235465).

The spelling of 103031632105164 in words is "one hundred three trillion, thirty-one billion, six hundred thirty-two million, one hundred five thousand, one hundred sixty-four".