106302840 has 64 divisors (see below), whose sum is σ = 364469760. Its totient is φ = 24297600.

The previous prime is 106302839. The next prime is 106302841. The reversal of 106302840 is 48203601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106302839) and next prime (106302841).

It is a super-2 number, since 2×106302840² = 22600587584131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106302840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106302841) 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, 62436 + ... + 64115.

It is an arithmetic number, because the mean of its divisors is an integer number (5694840).

Almost surely, 2^106302840 is an apocalyptic number.

106302840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106302840 is an abundant number, since it is smaller than the sum of its proper divisors (258166920).

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

106302840 is a wasteful number, since it uses less digits than its factorization.

106302840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126572 (or 126568 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106302840 is about 10310.3268619380. The cubic root of 106302840 is about 473.7126211160.

The spelling of 106302840 in words is "one hundred six million, three hundred two thousand, eight hundred forty".