110100695040 has 1344 divisors, whose sum is σ = 472648176000. Its totient is φ = 24580620288.

The previous prime is 110100695021. The next prime is 110100695063. The reversal of 110100695040 is 40596001011.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 110100694995 and 110100695013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2560481259 + ... + 2560481301.

It is an arithmetic number, because the mean of its divisors is an integer number (351672750).

Almost surely, 2^110100695040 is an apocalyptic number.

110100695040 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 110100695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236324088000).

110100695040 is an abundant number, since it is smaller than the sum of its proper divisors (362547480960).

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

110100695040 is an frugal number, since it uses more digits than its factorization.

110100695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 110100695040 its reverse (40596001011), we get a palindrome (150696696051).

The spelling of 110100695040 in words is "one hundred ten billion, one hundred million, six hundred ninety-five thousand, forty".