1008007500105 has 16 divisors (see below), whose sum is σ = 1792013333760. Its totient is φ = 537603999984.

The previous prime is 1008007500083. The next prime is 1008007500107. The reversal of 1008007500105 is 5010057008001.

It is not a de Polignac number, because 1008007500105 - 2¹⁸ = 1008007237961 is a prime.

It is a super-2 number, since 2×1008007500105² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1008007500107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3733360977 + ... + 3733361246.

It is an arithmetic number, because the mean of its divisors is an integer number (112000833360).

Almost surely, 2^{1008007500105} is an apocalyptic number.

1008007500105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1008007500105 is a deficient number, since it is larger than the sum of its proper divisors (784005833655).

1008007500105 is an equidigital number, since it uses as much as digits as its factorization.

1008007500105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7466722237 (or 7466722231 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The spelling of 1008007500105 in words is "one trillion, eight billion, seven million, five hundred thousand, one hundred five".