1031007105072 has 480 divisors, whose sum is σ = 3603797913600. Its totient is φ = 281043302400.

The previous prime is 1031007104993. The next prime is 1031007105077. The reversal of 1031007105072 is 2705017001301.

It is a happy number.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1031007105077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46579704 + ... + 46601832.

It is an arithmetic number, because the mean of its divisors is an integer number (7507912320).

Almost surely, 2^{1031007105072} is an apocalyptic number.

1031007105072 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 1031007105072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801898956800).

1031007105072 is an abundant number, since it is smaller than the sum of its proper divisors (2572790808528).

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

1031007105072 is a wasteful number, since it uses less digits than its factorization.

1031007105072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22262 (or 22243 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The spelling of 1031007105072 in words is "one trillion, thirty-one billion, seven million, one hundred five thousand, seventy-two".