105976640 has 336 divisors, whose sum is σ = 350251776. Its totient is φ = 29736960.

The previous prime is 105976613. The next prime is 105976669. The reversal of 105976640 is 46679501.

It is a super-2 number, since 2×105976640² = 22462096451379200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105976594 and 105976603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4607669 + ... + 4607691.

It is an arithmetic number, because the mean of its divisors is an integer number (1042416).

Almost surely, 2^105976640 is an apocalyptic number.

105976640 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 105976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175125888).

105976640 is an abundant number, since it is smaller than the sum of its proper divisors (244275136).

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

105976640 is a wasteful number, since it uses less digits than its factorization.

105976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 105976640 is about 10294.4956165905. The cubic root of 105976640 is about 473.2275811267.

The spelling of 105976640 in words is "one hundred five million, nine hundred seventy-six thousand, six hundred forty".