105243156010110 has 128 divisors (see below), whose sum is σ = 257898347449344. Its totient is φ = 27478560245760.

The previous prime is 105243156010037. The next prime is 105243156010127. The reversal of 105243156010110 is 11010651342501.

It is a super-2 number, since 2×105243156010110² (a number of 29 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2993842294 + ... + 2993877446.

It is an arithmetic number, because the mean of its divisors is an integer number (2014830839448).

Almost surely, 2^{105243156010110} is an apocalyptic number.

105243156010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105243156010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128949173724672).

105243156010110 is an abundant number, since it is smaller than the sum of its proper divisors (152655191439234).

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

105243156010110 is a wasteful number, since it uses less digits than its factorization.

105243156010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42658.

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 105243156010110 in words is "one hundred five trillion, two hundred forty-three billion, one hundred fifty-six million, ten thousand, one hundred ten".