106501117240 has 128 divisors (see below), whose sum is σ = 289425830400. Its totient is φ = 34454592000.

The previous prime is 106501117231. The next prime is 106501117243. The reversal of 106501117240 is 42711105601.

It is a super-2 number, since 2×106501117240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 106501117199 and 106501117208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106501117243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295442 + ... + 1375198.

It is an arithmetic number, because the mean of its divisors is an integer number (2261139300).

Almost surely, 2^106501117240 is an apocalyptic number.

106501117240 is a gapful number since it is divisible by the number (10) 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 106501117240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144712915200).

106501117240 is an abundant number, since it is smaller than the sum of its proper divisors (182924713160).

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

106501117240 is a wasteful number, since it uses less digits than its factorization.

106501117240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80045 (or 80041 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 106501117240 in words is "one hundred six billion, five hundred one million, one hundred seventeen thousand, two hundred forty".