106460736 has 56 divisors (see below), whose sum is σ = 284317440. Its totient is φ = 35154432.

The previous prime is 106460719. The next prime is 106460741. The reversal of 106460736 is 637064601.

It is a super-2 number, since 2×106460736² = 22667776619323392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106460697 and 106460706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18385 + ... + 23471.

Almost surely, 2^106460736 is an apocalyptic number.

106460736 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 106460736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142158720).

106460736 is an abundant number, since it is smaller than the sum of its proper divisors (177856704).

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

106460736 is a wasteful number, since it uses less digits than its factorization.

106460736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 106460736 is about 10317.9811978894. The cubic root of 106460736 is about 473.9470467292.

The spelling of 106460736 in words is "one hundred six million, four hundred sixty thousand, seven hundred thirty-six".