1016103032172 has 96 divisors (see below), whose sum is σ = 2684507313600. Its totient is φ = 332253282816.

The previous prime is 1016103032141. The next prime is 1016103032207. The reversal of 1016103032172 is 2712303016101.

1016103032172 is a `hidden beast` number, since 1 + 0 + 1 + 610 + 3 + 0 + 32 + 17 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44733154 + ... + 44755862.

It is an arithmetic number, because the mean of its divisors is an integer number (27963617850).

Almost surely, 2^{1016103032172} is an apocalyptic number.

1016103032172 is a gapful number since it is divisible by the number (12) 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 1016103032172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342253656800).

1016103032172 is an abundant number, since it is smaller than the sum of its proper divisors (1668404281428).

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

1016103032172 is a wasteful number, since it uses less digits than its factorization.

1016103032172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30592 (or 30584 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 1016103032172 its reverse (2712303016101), we get a palindrome (3728406048273).

The spelling of 1016103032172 in words is "one trillion, sixteen billion, one hundred three million, thirty-two thousand, one hundred seventy-two".