106681040 has 40 divisors (see below), whose sum is σ = 250249608. Its totient is φ = 42291200.

The previous prime is 106681039. The next prime is 106681073. The reversal of 106681040 is 40186601.

It can be written as a sum of positive squares in 4 ways, for example, as 13456 + 106667584 = 116^2 + 10328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106681040² = 22761688590963200, 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 7 ways as a sum of consecutive naturals, for example, 3140 + ... + 14940.

Almost surely, 2^106681040 is an apocalyptic number.

106681040 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 106681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125124804).

106681040 is an abundant number, since it is smaller than the sum of its proper divisors (143568568).

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

106681040 is a wasteful number, since it uses less digits than its factorization.

106681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11927 (or 11921 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 106681040 is about 10328.6514124546. The cubic root of 106681040 is about 474.2737414807.

The spelling of 106681040 in words is "one hundred six million, six hundred eighty-one thousand, forty".