106154160 has 160 divisors (see below), whose sum is σ = 379261440. Its totient is φ = 24059904.

The previous prime is 106154141. The next prime is 106154189. The reversal of 106154160 is 61451601.

It is a super-2 number, since 2×106154160² = 22537411370611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106154160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300544 + ... + 300896.

It is an arithmetic number, because the mean of its divisors is an integer number (2370384).

Almost surely, 2^106154160 is an apocalyptic number.

106154160 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 106154160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189630720).

106154160 is an abundant number, since it is smaller than the sum of its proper divisors (273107280).

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

106154160 is a wasteful number, since it uses less digits than its factorization.

106154160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 106154160 is about 10303.1140923509. The cubic root of 106154160 is about 473.4916660461.

It can be divided in two parts, 1061541 and 60, that added together give a palindrome (1061601).

The spelling of 106154160 in words is "one hundred six million, one hundred fifty-four thousand, one hundred sixty".