105977352 has 32 divisors (see below), whose sum is σ = 285324480. Its totient is φ = 32608320.

The previous prime is 105977341. The next prime is 105977357. The reversal of 105977352 is 253779501.

It is a super-2 number, since 2×105977352² = 22462398273863808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 105977352.

It is not an unprimeable number, because it can be changed into a prime (105977357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169524 + ... + 170147.

It is an arithmetic number, because the mean of its divisors is an integer number (8916390).

Almost surely, 2^105977352 is an apocalyptic number.

105977352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105977352 is an abundant number, since it is smaller than the sum of its proper divisors (179347128).

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

105977352 is a wasteful number, since it uses less digits than its factorization.

105977352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339693 (or 339689 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 105977352 is about 10294.5301981198. The cubic root of 105977352 is about 473.2286409115.

The spelling of 105977352 in words is "one hundred five million, nine hundred seventy-seven thousand, three hundred fifty-two".