106154540 has 48 divisors (see below), whose sum is σ = 232049664. Its totient is φ = 40747200.

The previous prime is 106154537. The next prime is 106154549. The reversal of 106154540 is 45451601.

It is a super-2 number, since 2×106154540² = 22537572725223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106154549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80567 + ... + 81873.

It is an arithmetic number, because the mean of its divisors is an integer number (4834368).

Almost surely, 2^106154540 is an apocalyptic number.

106154540 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 106154540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116024832).

106154540 is an abundant number, since it is smaller than the sum of its proper divisors (125895124).

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

106154540 is a wasteful number, since it uses less digits than its factorization.

106154540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 106154540 is about 10303.1325333609. The cubic root of 106154540 is about 473.4922310314.

The spelling of 106154540 in words is "one hundred six million, one hundred fifty-four thousand, five hundred forty".