106638740 has 24 divisors (see below), whose sum is σ = 241168200. Its totient is φ = 39374208.

The previous prime is 106638737. The next prime is 106638751. The reversal of 106638740 is 47836601.

It can be written as a sum of positive squares in 4 ways, for example, as 425104 + 106213636 = 652^2 + 10306^2 .

It is a super-2 number, since 2×106638740² = 22743641737575200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106638740.

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, 204815 + ... + 205334.

It is an arithmetic number, because the mean of its divisors is an integer number (10048675).

Almost surely, 2^106638740 is an apocalyptic number.

106638740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106638740 is an abundant number, since it is smaller than the sum of its proper divisors (134529460).

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

106638740 is a wasteful number, since it uses less digits than its factorization.

106638740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410171 (or 410169 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 106638740 is about 10326.6035074462. The cubic root of 106638740 is about 474.2110485804.

The spelling of 106638740 in words is "one hundred six million, six hundred thirty-eight thousand, seven hundred forty".