105049760 has 24 divisors (see below), whose sum is σ = 248180436. Its totient is φ = 42019840.

The previous prime is 105049759. The next prime is 105049781. The reversal of 105049760 is 67940501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 104939536 + 110224 = 10244^2 + 332^2 .

It is a super-2 number, since 2×105049760² = 22070904152115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 328121 + ... + 328440.

Almost surely, 2^105049760 is an apocalyptic number.

105049760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105049760 is an abundant number, since it is smaller than the sum of its proper divisors (143130676).

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

105049760 is an equidigital number, since it uses as much as digits as its factorization.

105049760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656576 (or 656568 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 105049760 is about 10249.3785177444. The cubic root of 105049760 is about 471.8439108503.

The spelling of 105049760 in words is "one hundred five million, forty-nine thousand, seven hundred sixty".