106017237504 has 240 divisors, whose sum is σ = 320424616512. Its totient is φ = 34991751168.

The previous prime is 106017237503. The next prime is 106017237511. The reversal of 106017237504 is 405732710601.

It is a happy number.

106017237504 is a `hidden beast` number, since 10 + 601 + 7 + 2 + 37 + 5 + 0 + 4 = 666.

It is a super-3 number, since 3×106017237504³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (106017237503) 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, 12810712 + ... + 12818984.

Almost surely, 2^106017237504 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 106017237504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160212308256).

106017237504 is an abundant number, since it is smaller than the sum of its proper divisors (214407379008).

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

106017237504 is an frugal number, since it uses more digits than its factorization.

106017237504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8409 (or 8381 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 106017237504 in words is "one hundred six billion, seventeen million, two hundred thirty-seven thousand, five hundred four".