106836620 has 96 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 36115200.

The previous prime is 106836617. The next prime is 106836623. The reversal of 106836620 is 26638601.

It is an interprime number because it is at equal distance from previous prime (106836617) and next prime (106836623).

It is a super-2 number, since 2×106836620² = 22828126746048800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106836623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254771 + ... + 255189.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^106836620 is an apocalyptic number.

106836620 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 106836620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

106836620 is an abundant number, since it is smaller than the sum of its proper divisors (155646580).

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

106836620 is a wasteful number, since it uses less digits than its factorization.

106836620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 106836620 is about 10336.1801454890. The cubic root of 106836620 is about 474.5041843911.

The spelling of 106836620 in words is "one hundred six million, eight hundred thirty-six thousand, six hundred twenty".