106988544 has 264 divisors, whose sum is σ = 357651840. Its totient is φ = 30523392.

The previous prime is 106988537. The next prime is 106988573. The reversal of 106988544 is 445889601.

106988544 = 176² + 177² + ... + 688².

106988544 is a `hidden beast` number, since 10 + 6 + 98 + 8 + 544 = 666.

It is a super-2 number, since 2×106988544² = 22893097094479872, 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 106988544.

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, 2276329 + ... + 2276375.

Almost surely, 2^106988544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106988544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178825920).

106988544 is an abundant number, since it is smaller than the sum of its proper divisors (250663296).

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

106988544 is a wasteful number, since it uses less digits than its factorization.

106988544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 106988544 is about 10343.5266713051. The cubic root of 106988544 is about 474.7289962897.

The spelling of 106988544 in words is "one hundred six million, nine hundred eighty-eight thousand, five hundred forty-four".