106138260 has 72 divisors (see below), whose sum is σ = 333070920. Its totient is φ = 27326208.

The previous prime is 106138247. The next prime is 106138283. The reversal of 106138260 is 62831601.

It can be written as a sum of positive squares in 4 ways, for example, as 37380996 + 68757264 = 6114^2 + 8292^2 .

It is a super-2 number, since 2×106138260² = 22530660471655200, 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 23 ways as a sum of consecutive naturals, for example, 4947 + ... + 15386.

It is an arithmetic number, because the mean of its divisors is an integer number (4625985).

Almost surely, 2^106138260 is an apocalyptic number.

106138260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106138260 is an abundant number, since it is smaller than the sum of its proper divisors (226932660).

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

106138260 is a wasteful number, since it uses less digits than its factorization.

106138260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20377 (or 20372 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106138260 is about 10302.3424520834. The cubic root of 106138260 is about 473.4680246633.

Adding to 106138260 its reverse (62831601), we get a palindrome (168969861).

The spelling of 106138260 in words is "one hundred six million, one hundred thirty-eight thousand, two hundred sixty".