1005010025107 has 16 divisors (see below), whose sum is σ = 1192241992032. Its totient is φ = 836661035520.

The previous prime is 1005010025087. The next prime is 1005010025111. The reversal of 1005010025107 is 7015200105001.

It is a cyclic number.

It is not a de Polignac number, because 1005010025107 - 2¹⁵ = 1005009992339 is a prime.

It is a super-2 number, since 2×1005010025107² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005010025147) 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, 72619908 + ... + 72633745.

It is an arithmetic number, because the mean of its divisors is an integer number (74515124502).

Almost surely, 2^{1005010025107} is an apocalyptic number.

1005010025107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1005010025107 is a deficient number, since it is larger than the sum of its proper divisors (187231966925).

1005010025107 is a wasteful number, since it uses less digits than its factorization.

1005010025107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145253718.

The product of its (nonzero) digits is 350, while the sum is 22.

The spelling of 1005010025107 in words is "one trillion, five billion, ten million, twenty-five thousand, one hundred seven".