105671540 has 48 divisors (see below), whose sum is σ = 251569920. Its totient is φ = 36961920.

The previous prime is 105671513. The next prime is 105671623. The reversal of 105671540 is 45176501.

It is a super-2 number, since 2×105671540² = 22332948731943200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5756 + ... + 15635.

It is an arithmetic number, because the mean of its divisors is an integer number (5241040).

Almost surely, 2^105671540 is an apocalyptic number.

105671540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105671540 is an abundant number, since it is smaller than the sum of its proper divisors (145898380).

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

105671540 is a wasteful number, since it uses less digits than its factorization.

105671540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21432 (or 21430 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 105671540 is about 10279.6663369975. Note that the first 3 decimals coincide. The cubic root of 105671540 is about 472.7730139306.

The spelling of 105671540 in words is "one hundred five million, six hundred seventy-one thousand, five hundred forty".