105010610104 has 64 divisors (see below), whose sum is σ = 220903545600. Its totient is φ = 46505664000.

The previous prime is 105010610101. The next prime is 105010610119. The reversal of 105010610104 is 401016010501.

It is a super-2 number, since 2×105010610104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010610101) 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, 255619 + ... + 524749.

It is an arithmetic number, because the mean of its divisors is an integer number (3451617900).

Almost surely, 2^105010610104 is an apocalyptic number.

It is an amenable number.

105010610104 is an abundant number, since it is smaller than the sum of its proper divisors (115892935496).

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

105010610104 is a wasteful number, since it uses less digits than its factorization.

105010610104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269324 (or 269320 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 105010610104 its reverse (401016010501), we get a palindrome (506026620605).

The spelling of 105010610104 in words is "one hundred five billion, ten million, six hundred ten thousand, one hundred four".