106628160 has 112 divisors (see below), whose sum is σ = 341985600. Its totient is φ = 28145664.

The previous prime is 106628147. The next prime is 106628173. The reversal of 106628160 is 61826601.

It is an interprime number because it is at equal distance from previous prime (106628147) and next prime (106628173).

It is a super-2 number, since 2×106628160² = 22739129009971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104131 + ... + 105149.

Almost surely, 2^106628160 is an apocalyptic number.

106628160 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 106628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170992800).

106628160 is an abundant number, since it is smaller than the sum of its proper divisors (235357440).

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

106628160 is a wasteful number, since it uses less digits than its factorization.

106628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 106628160 is about 10326.0912256284. The cubic root of 106628160 is about 474.1953653531.

The spelling of 106628160 in words is "one hundred six million, six hundred twenty-eight thousand, one hundred sixty".