105250140 has 36 divisors (see below), whose sum is σ = 319259304. Its totient is φ = 28066656.

The previous prime is 105250133. The next prime is 105250147. The reversal of 105250140 is 41052501.

105250140 is a `hidden beast` number, since 1 + 0 + 525 + 0 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (105250133) and next prime (105250147).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105250140² = 22155183940039200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105250147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292182 + ... + 292541.

It is an arithmetic number, because the mean of its divisors is an integer number (8868314).

Almost surely, 2^105250140 is an apocalyptic number.

105250140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105250140 is an abundant number, since it is smaller than the sum of its proper divisors (214009164).

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

105250140 is a wasteful number, since it uses less digits than its factorization.

105250140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584738 (or 584733 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105250140 is about 10259.1490875218. The cubic root of 105250140 is about 472.1437307654.

The spelling of 105250140 in words is "one hundred five million, two hundred fifty thousand, one hundred forty".