105100111040 has 224 divisors, whose sum is σ = 264369864960. Its totient is φ = 39739392000.

The previous prime is 105100111037. The next prime is 105100111043. The reversal of 105100111040 is 40111001501.

It is an interprime number because it is at equal distance from previous prime (105100111037) and next prime (105100111043).

It is a super-2 number, since 2×105100111040² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105100111043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226997849 + ... + 226998311.

Almost surely, 2^105100111040 is an apocalyptic number.

105100111040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105100111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132184932480).

105100111040 is an abundant number, since it is smaller than the sum of its proper divisors (159269753920).

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

105100111040 is a wasteful number, since it uses less digits than its factorization.

105100111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

Adding to 105100111040 its reverse (40111001501), we get a palindrome (145211112541).

The spelling of 105100111040 in words is "one hundred five billion, one hundred million, one hundred eleven thousand, forty".