105877551213504 has 672 divisors, whose sum is σ = 357005900160000. Its totient is φ = 29986896328704.

The previous prime is 105877551213463. The next prime is 105877551213527. The reversal of 105877551213504 is 405312155778501.

105877551213504 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 7 + 7 + 5 + 5 + 121 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×105877551213504² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20404227742 + ... + 20404232930.

It is an arithmetic number, because the mean of its divisors is an integer number (531258780000).

Almost surely, 2^{105877551213504} is an apocalyptic number.

105877551213504 is a gapful number since it is divisible by the number (14) 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 105877551213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178502950080000).

105877551213504 is an abundant number, since it is smaller than the sum of its proper divisors (251128348946496).

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

105877551213504 is a wasteful number, since it uses less digits than its factorization.

105877551213504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 5880000, while the sum is 54.

The spelling of 105877551213504 in words is "one hundred five trillion, eight hundred seventy-seven billion, five hundred fifty-one million, two hundred thirteen thousand, five hundred four".