106154560 has 56 divisors (see below), whose sum is σ = 254203200. Its totient is φ = 42223104.

The previous prime is 106154557. The next prime is 106154611. The reversal of 106154560 is 65451601.

It is a super-2 number, since 2×106154560² = 22537581217587200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62847 + ... + 64513.

Almost surely, 2^106154560 is an apocalyptic number.

106154560 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 106154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127101600).

106154560 is an abundant number, since it is smaller than the sum of its proper divisors (148048640).

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

106154560 is a wasteful number, since it uses less digits than its factorization.

106154560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 106154560 is about 10303.1335039395. The cubic root of 106154560 is about 473.4922607674.

The spelling of 106154560 in words is "one hundred six million, one hundred fifty-four thousand, five hundred sixty".