106514840 has 32 divisors (see below), whose sum is σ = 250080480. Its totient is φ = 40753152.

The previous prime is 106514801. The next prime is 106514861. The reversal of 106514840 is 48415601.

It is a super-2 number, since 2×106514840² = 22690822280451200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56969 + ... + 58808.

It is an arithmetic number, because the mean of its divisors is an integer number (7815015).

Almost surely, 2^106514840 is an apocalyptic number.

106514840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106514840 is an abundant number, since it is smaller than the sum of its proper divisors (143565640).

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

106514840 is a wasteful number, since it uses less digits than its factorization.

106514840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115811 (or 115807 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 106514840 is about 10320.6026955794. The cubic root of 106514840 is about 474.0273207323.

The spelling of 106514840 in words is "one hundred six million, five hundred fourteen thousand, eight hundred forty".