106537104 has 120 divisors (see below), whose sum is σ = 327687360. Its totient is φ = 32161536.

The previous prime is 106537103. The next prime is 106537117. The reversal of 106537104 is 401735601.

106537104 is a `hidden beast` number, since 1 + 0 + 653 + 7 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×106537104² = 22700309057413632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106537103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62082 + ... + 63774.

It is an arithmetic number, because the mean of its divisors is an integer number (2730728).

Almost surely, 2^106537104 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 106537104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163843680).

106537104 is an abundant number, since it is smaller than the sum of its proper divisors (221150256).

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

106537104 is a wasteful number, since it uses less digits than its factorization.

106537104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106537104 is about 10321.6812583997. The cubic root of 106537104 is about 474.0603458927.

The spelling of 106537104 in words is "one hundred six million, five hundred thirty-seven thousand, one hundred four".