105677140 has 24 divisors (see below), whose sum is σ = 229082112. Its totient is φ = 40907040.

The previous prime is 105677129. The next prime is 105677141. The reversal of 105677140 is 41776501.

It is a super-2 number, since 2×105677140² = 22335315837159200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105677141) 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, 84604 + ... + 85843.

It is an arithmetic number, because the mean of its divisors is an integer number (9545088).

Almost surely, 2^105677140 is an apocalyptic number.

105677140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105677140 is an abundant number, since it is smaller than the sum of its proper divisors (123404972).

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

105677140 is a wasteful number, since it uses less digits than its factorization.

105677140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170487 (or 170485 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 105677140 is about 10279.9387157706. The cubic root of 105677140 is about 472.7813652240.

The spelling of 105677140 in words is "one hundred five million, six hundred seventy-seven thousand, one hundred forty".