106154320 has 20 divisors (see below), whose sum is σ = 246808980. Its totient is φ = 42461696.

The previous prime is 106154317. The next prime is 106154327. The reversal of 106154320 is 23451601.

It can be written as a sum of positive squares in 2 ways, for example, as 77510416 + 28643904 = 8804^2 + 5352^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106154320² = 22537479309324800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106154291 and 106154300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106154327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 663385 + ... + 663544.

It is an arithmetic number, because the mean of its divisors is an integer number (12340449).

Almost surely, 2^106154320 is an apocalyptic number.

106154320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106154320 is an abundant number, since it is smaller than the sum of its proper divisors (140654660).

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

106154320 is a wasteful number, since it uses less digits than its factorization.

106154320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326942 (or 1326936 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 106154320 is about 10303.1218569907. The cubic root of 106154320 is about 473.4919039348.

The spelling of 106154320 in words is "one hundred six million, one hundred fifty-four thousand, three hundred twenty".