105257009376 has 288 divisors, whose sum is σ = 318715907328. Its totient is φ = 32882319360.

The previous prime is 105257009329. The next prime is 105257009401. The reversal of 105257009376 is 673900752501.

105257009376 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 570 + 0 + 9 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105257009376² (a number of 23 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68749731 + ... + 68751261.

It is an arithmetic number, because the mean of its divisors is an integer number (1106652456).

Almost surely, 2^105257009376 is an apocalyptic number.

105257009376 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 105257009376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159357953664).

105257009376 is an abundant number, since it is smaller than the sum of its proper divisors (213458897952).

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

105257009376 is a wasteful number, since it uses less digits than its factorization.

105257009376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 105257009376 in words is "one hundred five billion, two hundred fifty-seven million, nine thousand, three hundred seventy-six".