10105162787 has 16 divisors (see below), whose sum is σ = 10810176000. Its totient is φ = 9418335264.

The previous prime is 10105162733. The next prime is 10105162799. The reversal of 10105162787 is 78726150101.

It is a happy number.

It is not a de Polignac number, because 10105162787 - 2¹⁶ = 10105097251 is a prime.

It is a super-2 number, since 2×10105162787² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10105162787.

It is not an unprimeable number, because it can be changed into a prime (10105162087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412889 + ... + 436677.

It is an arithmetic number, because the mean of its divisors is an integer number (675636000).

Almost surely, 2^10105162787 is an apocalyptic number.

10105162787 is a deficient number, since it is larger than the sum of its proper divisors (705013213).

10105162787 is a wasteful number, since it uses less digits than its factorization.

10105162787 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24170.

The product of its (nonzero) digits is 23520, while the sum is 38.

The spelling of 10105162787 in words is "ten billion, one hundred five million, one hundred sixty-two thousand, seven hundred eighty-seven".