105747000 has 128 divisors (see below), whose sum is σ = 334152000. Its totient is φ = 27840000.

The previous prime is 105746981. The next prime is 105747011. The reversal of 105747000 is 747501.

It is a super-2 number, since 2×105747000² = 22364856018000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302826 + ... + 303174.

Almost surely, 2^105747000 is an apocalyptic number.

105747000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105747000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000).

105747000 is an abundant number, since it is smaller than the sum of its proper divisors (228405000).

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

105747000 is a wasteful number, since it uses less digits than its factorization.

105747000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 105747000 is about 10283.3360345756. The cubic root of 105747000 is about 472.8855228207.

The spelling of 105747000 in words is "one hundred five million, seven hundred forty-seven thousand".