105241925376 has 576 divisors, whose sum is σ = 376750080000. Its totient is φ = 28308123648.

The previous prime is 105241925353. The next prime is 105241925377. The reversal of 105241925376 is 673529142501.

105241925376 is a `hidden beast` number, since 1 + 0 + 5 + 24 + 1 + 92 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×105241925376² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105241925377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219711505 + ... + 219711983.

It is an arithmetic number, because the mean of its divisors is an integer number (654080000).

Almost surely, 2^105241925376 is an apocalyptic number.

105241925376 is a gapful number since it is divisible by the number (16) 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 105241925376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188375040000).

105241925376 is an abundant number, since it is smaller than the sum of its proper divisors (271508154624).

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

105241925376 is a wasteful number, since it uses less digits than its factorization.

105241925376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 105241925376 in words is "one hundred five billion, two hundred forty-one million, nine hundred twenty-five thousand, three hundred seventy-six".