105059376 has 80 divisors (see below), whose sum is σ = 303676000. Its totient is φ = 34774272.

The previous prime is 105059347. The next prime is 105059387. The reversal of 105059376 is 673950501.

It is a happy number.

105059376 is a `hidden beast` number, since 10 + 50 + 593 + 7 + 6 = 666.

It is a super-2 number, since 2×105059376² = 22074944971018752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105059376.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67050 + ... + 68598.

It is an arithmetic number, because the mean of its divisors is an integer number (3795950).

Almost surely, 2^105059376 is an apocalyptic number.

105059376 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 105059376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151838000).

105059376 is an abundant number, since it is smaller than the sum of its proper divisors (198616624).

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

105059376 is a wasteful number, since it uses less digits than its factorization.

105059376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 105059376 is about 10249.8476086233. The cubic root of 105059376 is about 471.8583075597.

It can be divided in two parts, 10505 and 9376, that added together give a square (19881 = 141²).

The spelling of 105059376 in words is "one hundred five million, fifty-nine thousand, three hundred seventy-six".