106034544 has 240 divisors, whose sum is σ = 377904384. Its totient is φ = 26956800.

The previous prime is 106034521. The next prime is 106034549. The reversal of 106034544 is 445430601.

106034544 is a `hidden beast` number, since 1 + 0 + 603 + 4 + 54 + 4 = 666.

It is a super-2 number, since 2×106034544² = 22486649042575872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106034549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809359 + ... + 809489.

Almost surely, 2^106034544 is an apocalyptic number.

106034544 is a gapful number since it is divisible by the number (14) 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 106034544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188952192).

106034544 is an abundant number, since it is smaller than the sum of its proper divisors (271869840).

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

106034544 is a wasteful number, since it uses less digits than its factorization.

106034544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 106034544 is about 10297.3076092734. The cubic root of 106034544 is about 473.3137535157.

The spelling of 106034544 in words is "one hundred six million, thirty-four thousand, five hundred forty-four".