105165015510 has 32 divisors (see below), whose sum is σ = 256673940480. Its totient is φ = 27568681568.

The previous prime is 105165015509. The next prime is 105165015541. The reversal of 105165015510 is 15510561501.

It is a super-2 number, since 2×105165015510² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29705862 + ... + 29709401.

It is an arithmetic number, because the mean of its divisors is an integer number (8021060640).

Almost surely, 2^105165015510 is an apocalyptic number.

105165015510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105165015510 is an abundant number, since it is smaller than the sum of its proper divisors (151508924970).

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

105165015510 is a wasteful number, since it uses less digits than its factorization.

105165015510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59415332.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 105165015510 in words is "one hundred five billion, one hundred sixty-five million, fifteen thousand, five hundred ten".