106484736 has 88 divisors (see below), whose sum is σ = 300663360. Its totient is φ = 33390592.

The previous prime is 106484717. The next prime is 106484761. The reversal of 106484736 is 637484601.

It is a super-2 number, since 2×106484736² = 22677998001979392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106484694 and 106484703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51205 + ... + 53243.

Almost surely, 2^106484736 is an apocalyptic number.

106484736 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 106484736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150331680).

106484736 is an abundant number, since it is smaller than the sum of its proper divisors (194178624).

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

106484736 is a wasteful number, since it uses less digits than its factorization.

106484736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 106484736 is about 10319.1441505582. The cubic root of 106484736 is about 473.9826588397.

The spelling of 106484736 in words is "one hundred six million, four hundred eighty-four thousand, seven hundred thirty-six".