106361760 has 48 divisors (see below), whose sum is σ = 335041056. Its totient is φ = 28363008.

The previous prime is 106361737. The next prime is 106361777. The reversal of 106361760 is 67163601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106361760² = 22625647980595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110314 + ... + 111273.

It is an arithmetic number, because the mean of its divisors is an integer number (6980022).

Almost surely, 2^106361760 is an apocalyptic number.

106361760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106361760 is an abundant number, since it is smaller than the sum of its proper divisors (228679296).

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

106361760 is a wasteful number, since it uses less digits than its factorization.

106361760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221605 (or 221597 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 106361760 is about 10313.1837955115. The cubic root of 106361760 is about 473.8001258101.

The spelling of 106361760 in words is "one hundred six million, three hundred sixty-one thousand, seven hundred sixty".