105751680 has 64 divisors (see below), whose sum is σ = 337089600. Its totient is φ = 28199936.

The previous prime is 105751651. The next prime is 105751687. The reversal of 105751680 is 86157501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105751680² = 22366835645644800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105751687) 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, 25620 + ... + 29459.

It is an arithmetic number, because the mean of its divisors is an integer number (5267025).

Almost surely, 2^105751680 is an apocalyptic number.

105751680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105751680 is an abundant number, since it is smaller than the sum of its proper divisors (231337920).

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

105751680 is an equidigital number, since it uses as much as digits as its factorization.

105751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55101 (or 55089 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 105751680 is about 10283.5635846724. The cubic root of 105751680 is about 472.8924988156.

The spelling of 105751680 in words is "one hundred five million, seven hundred fifty-one thousand, six hundred eighty".