106797824 has 72 divisors (see below), whose sum is σ = 247879968. Its totient is φ = 44974080.

The previous prime is 106797811. The next prime is 106797829. The reversal of 106797824 is 428797601.

It is a super-2 number, since 2×106797824² = 22811550422269952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106797829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108824 + ... + 109800.

Almost surely, 2^106797824 is an apocalyptic number.

106797824 is a gapful number since it is divisible by the number (14) 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 106797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123939984).

106797824 is an abundant number, since it is smaller than the sum of its proper divisors (141082144).

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

106797824 is an frugal number, since it uses more digits than its factorization.

106797824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 106797824 is about 10334.3032663068. The cubic root of 106797824 is about 474.4467412500.

The spelling of 106797824 in words is "one hundred six million, seven hundred ninety-seven thousand, eight hundred twenty-four".