106542576 has 120 divisors (see below), whose sum is σ = 358766720. Its totient is φ = 28833408.

The previous prime is 106542563. The next prime is 106542593. The reversal of 106542576 is 675245601.

It is a happy number.

106542576 is a `hidden beast` number, since 106 + 542 + 5 + 7 + 6 = 666.

It is a super-2 number, since 2×106542576² = 22702641001431552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106542576.

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, 16371 + ... + 21933.

Almost surely, 2^106542576 is an apocalyptic number.

106542576 is a gapful number since it is divisible by the number (16) 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 106542576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179383360).

106542576 is an abundant number, since it is smaller than the sum of its proper divisors (252224144).

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

106542576 is a wasteful number, since it uses less digits than its factorization.

106542576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 106542576 is about 10321.9463280914. The cubic root of 106542576 is about 474.0684620441.

The spelling of 106542576 in words is "one hundred six million, five hundred forty-two thousand, five hundred seventy-six".