107185440 has 48 divisors (see below), whose sum is σ = 337635648. Its totient is φ = 28582656.

The previous prime is 107185417. The next prime is 107185447. The reversal of 107185440 is 44581701.

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

It is a super-2 number, since 2×107185440² = 22977437095987200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 107185398 and 107185407.

It is not an unprimeable number, because it can be changed into a prime (107185447) 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, 111172 + ... + 112131.

It is an arithmetic number, because the mean of its divisors is an integer number (7034076).

Almost surely, 2^107185440 is an apocalyptic number.

107185440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107185440 is an abundant number, since it is smaller than the sum of its proper divisors (230450208).

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

107185440 is a wasteful number, since it uses less digits than its factorization.

107185440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223321 (or 223313 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 107185440 is about 10353.0401332169. The cubic root of 107185440 is about 475.0200397824.

The spelling of 107185440 in words is "one hundred seven million, one hundred eighty-five thousand, four hundred forty".