106352840 has 32 divisors (see below), whose sum is σ = 261048960. Its totient is φ = 38673600.

The previous prime is 106352809. The next prime is 106352891. The reversal of 106352840 is 48253601.

It is a super-2 number, since 2×106352840² = 22621853152131200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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, 120416 + ... + 121295.

It is an arithmetic number, because the mean of its divisors is an integer number (8157780).

Almost surely, 2^106352840 is an apocalyptic number.

106352840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106352840 is an abundant number, since it is smaller than the sum of its proper divisors (154696120).

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

106352840 is a wasteful number, since it uses less digits than its factorization.

106352840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241733 (or 241729 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 106352840 is about 10312.7513302707. The cubic root of 106352840 is about 473.7868804004.

The spelling of 106352840 in words is "one hundred six million, three hundred fifty-two thousand, eight hundred forty".