106675560 has 96 divisors (see below), whose sum is σ = 348346440. Its totient is φ = 28311552.

The previous prime is 106675559. The next prime is 106675573. The reversal of 106675560 is 65576601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 106626276 + 49284 = 10326^2 + 222^2 .

It is a super-2 number, since 2×106675560² = 22759350202627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91944 + ... + 93096.

Almost surely, 2^106675560 is an apocalyptic number.

106675560 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 106675560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174173220).

106675560 is an abundant number, since it is smaller than the sum of its proper divisors (241670880).

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

106675560 is a wasteful number, since it uses less digits than its factorization.

106675560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 106675560 is about 10328.3861275613. The cubic root of 106675560 is about 474.2656204981.

The spelling of 106675560 in words is "one hundred six million, six hundred seventy-five thousand, five hundred sixty".