106861840 has 40 divisors (see below), whose sum is σ = 250673688. Its totient is φ = 42362880.

The previous prime is 106861831. The next prime is 106861873. The reversal of 106861840 is 48168601.

It can be written as a sum of positive squares in 4 ways, for example, as 4528384 + 102333456 = 2128^2 + 10116^2 .

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

It is a super-2 number, since 2×106861840² = 22838905696371200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106861796 and 106861805.

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, 3130 + ... + 14950.

Almost surely, 2^106861840 is an apocalyptic number.

106861840 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 106861840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125336844).

106861840 is an abundant number, since it is smaller than the sum of its proper divisors (143811848).

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

106861840 is a wasteful number, since it uses less digits than its factorization.

106861840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11947 (or 11941 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 106861840 is about 10337.4000599764. The cubic root of 106861840 is about 474.5415188244.

It can be divided in two parts, 106861 and 840, that added together give a palindrome (107701).

The spelling of 106861840 in words is "one hundred six million, eight hundred sixty-one thousand, eight hundred forty".