106240160 has 72 divisors (see below), whose sum is σ = 271853820. Its totient is φ = 39217152.

The previous prime is 106240133. The next prime is 106240177. The reversal of 106240160 is 61042601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1628176 + 104611984 = 1276^2 + 10228^2 .

It is a super-2 number, since 2×106240160² = 22573943193651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25076 + ... + 29004.

Almost surely, 2^106240160 is an apocalyptic number.

106240160 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 106240160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135926910).

106240160 is an abundant number, since it is smaller than the sum of its proper divisors (165613660).

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

106240160 is a wasteful number, since it uses less digits than its factorization.

106240160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 106240160 is about 10307.2867428824. The cubic root of 106240160 is about 473.6194967777.

Adding to 106240160 its reverse (61042601), we get a palindrome (167282761).

The spelling of 106240160 in words is "one hundred six million, two hundred forty thousand, one hundred sixty".