106709130 has 256 divisors, whose sum is σ = 342835200. Its totient is φ = 23328000.

The previous prime is 106709123. The next prime is 106709179. The reversal of 106709130 is 31907601.

It is a super-2 number, since 2×106709130² = 22773676850713800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106709094 and 106709103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1749300 + ... + 1749360.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^106709130 is an apocalyptic number.

106709130 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 106709130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

106709130 is an abundant number, since it is smaller than the sum of its proper divisors (236126070).

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

106709130 is a wasteful number, since it uses less digits than its factorization.

106709130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 106709130 is about 10330.0111326174. The cubic root of 106709130 is about 474.3153645604.

The spelling of 106709130 in words is "one hundred six million, seven hundred nine thousand, one hundred thirty".