105537096 has 192 divisors, whose sum is σ = 350438400. Its totient is φ = 28024704.

The previous prime is 105537059. The next prime is 105537101. The reversal of 105537096 is 690735501.

It is a happy number.

105537096 is a `hidden beast` number, since 10 + 553 + 7 + 0 + 96 = 666.

105537096 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×105537096² = 22276157264226432, 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 105537096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986275 + ... + 986381.

It is an arithmetic number, because the mean of its divisors is an integer number (1825200).

Almost surely, 2^105537096 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 105537096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175219200).

105537096 is an abundant number, since it is smaller than the sum of its proper divisors (244901304).

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

105537096 is a wasteful number, since it uses less digits than its factorization.

105537096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 105537096 is about 10273.1249384012. The cubic root of 105537096 is about 472.5724286383.

The spelling of 105537096 in words is "one hundred five million, five hundred thirty-seven thousand, ninety-six".