105610610551000 has 32 divisors (see below), whose sum is σ = 247128828691680. Its totient is φ = 42244244220000.

The previous prime is 105610610550979. The next prime is 105610610551003. The reversal of 105610610551000 is 155016016501.

It is a super-2 number, since 2×105610610551000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105610610551003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52805304276 + ... + 52805306275.

It is an arithmetic number, because the mean of its divisors is an integer number (7722775896615).

Almost surely, 2^{105610610551000} is an apocalyptic number.

105610610551000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105610610551000 is an abundant number, since it is smaller than the sum of its proper divisors (141518218140680).

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

105610610551000 is a wasteful number, since it uses less digits than its factorization.

105610610551000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105610610572 (or 105610610558 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 31.

Adding to 105610610551000 its reverse (155016016501), we get a palindrome (105765626567501).

The spelling of 105610610551000 in words is "one hundred five trillion, six hundred ten billion, six hundred ten million, five hundred fifty-one thousand".