110947291055104 has 297 divisors, whose sum is σ = 262772867726373. Its totient is φ = 46684277907456.

The previous prime is 110947291055101. The next prime is 110947291055113. The reversal of 110947291055104 is 401550192749011.

It is a happy number.

The square root of 110947291055104 is 10533152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53800464614400 + 57146826440704 = 7334880^2 + 7559552^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110947291055101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139206136434 + ... + 139206137230.

Almost surely, 2^{110947291055104} is an apocalyptic number.

110947291055104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

110947291055104 is the 10533152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110947291055104

110947291055104 is an abundant number, since it is smaller than the sum of its proper divisors (151825576671269).

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

110947291055104 is an frugal number, since it uses more digits than its factorization.

110947291055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 49.

110947291055104 divided by its sum of digits (49) gives a square (2264230429696 = 1504736²).

The spelling of 110947291055104 in words is "one hundred ten trillion, nine hundred forty-seven billion, two hundred ninety-one million, fifty-five thousand, one hundred four".