106113630 has 64 divisors (see below), whose sum is σ = 293995008. Its totient is φ = 24009600.

The previous prime is 106113619. The next prime is 106113649. The reversal of 106113630 is 36311601.

It is a super-2 number, since 2×106113630² = 22520204943553800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 106113597 and 106113606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18709 + ... + 23711.

It is an arithmetic number, because the mean of its divisors is an integer number (4593672).

Almost surely, 2^106113630 is an apocalyptic number.

106113630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106113630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146997504).

106113630 is an abundant number, since it is smaller than the sum of its proper divisors (187881378).

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

106113630 is a wasteful number, since it uses less digits than its factorization.

106113630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 106113630 is about 10301.1470235115. The cubic root of 106113630 is about 473.4313981612.

It can be divided in two parts, 10611 and 3630, that added together give a palindrome (14241).

The spelling of 106113630 in words is "one hundred six million, one hundred thirteen thousand, six hundred thirty".