1053707154100 has 72 divisors (see below), whose sum is σ = 2309868471456. Its totient is φ = 417186000000.

The previous prime is 1053707154043. The next prime is 1053707154113. The reversal of 1053707154100 is 14517073501.

It is a happy number.

It is a super-2 number, since 2×1053707154100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38881555 + ... + 38908645.

It is an arithmetic number, because the mean of its divisors is an integer number (32081506548).

Almost surely, 2^{1053707154100} is an apocalyptic number.

1053707154100 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 1053707154100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154934235728).

1053707154100 is an abundant number, since it is smaller than the sum of its proper divisors (1256161317356).

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

1053707154100 is a wasteful number, since it uses less digits than its factorization.

1053707154100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31057 (or 31050 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 34.

The spelling of 1053707154100 in words is "one trillion, fifty-three billion, seven hundred seven million, one hundred fifty-four thousand, one hundred".