106111620 has 120 divisors (see below), whose sum is σ = 352548504. Its totient is φ = 26625024.

The previous prime is 106111619. The next prime is 106111631. The reversal of 106111620 is 26111601.

It can be written as a sum of positive squares in 4 ways, for example, as 56070144 + 50041476 = 7488^2 + 7074^2 .

It is a super-2 number, since 2×106111620² = 22519351798048800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106111593 and 106111602.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25614 + ... + 29466.

Almost surely, 2^106111620 is an apocalyptic number.

106111620 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 106111620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176274252).

106111620 is an abundant number, since it is smaller than the sum of its proper divisors (246436884).

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

106111620 is a wasteful number, since it uses less digits than its factorization.

106111620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 106111620 is about 10301.0494610986. The cubic root of 106111620 is about 473.4284089030.

The spelling of 106111620 in words is "one hundred six million, one hundred eleven thousand, six hundred twenty".