125611105400 has 96 divisors (see below), whose sum is σ = 321028202880. Its totient is φ = 45327984000.

The previous prime is 125611105391. The next prime is 125611105427. The reversal of 125611105400 is 4501116521.

It is a self number, because there is not a number n which added to its sum of digits gives 125611105400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70277 + ... + 506123.

It is an arithmetic number, because the mean of its divisors is an integer number (3344043780).

Almost surely, 2^125611105400 is an apocalyptic number.

125611105400 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 125611105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160514101440).

125611105400 is an abundant number, since it is smaller than the sum of its proper divisors (195417097480).

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

125611105400 is a wasteful number, since it uses less digits than its factorization.

125611105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436005 (or 435996 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 125611105400 in words is "one hundred twenty-five billion, six hundred eleven million, one hundred five thousand, four hundred".