106254540 has 144 divisors (see below), whose sum is σ = 376084800. Its totient is φ = 24272640.

The previous prime is 106254529. The next prime is 106254569. The reversal of 106254540 is 45452601.

106254540 is a `hidden beast` number, since 10 + 62 + 54 + 540 = 666.

It is a super-2 number, since 2×106254540² = 22580054541223200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60880 + ... + 62600.

It is an arithmetic number, because the mean of its divisors is an integer number (2611700).

Almost surely, 2^106254540 is an apocalyptic number.

106254540 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 106254540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188042400).

106254540 is an abundant number, since it is smaller than the sum of its proper divisors (269830260).

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

106254540 is a wasteful number, since it uses less digits than its factorization.

106254540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 106254540 is about 10307.9842840392. The cubic root of 106254540 is about 473.6408645326.

The spelling of 106254540 in words is "one hundred six million, two hundred fifty-four thousand, five hundred forty".