106430640 has 80 divisors (see below), whose sum is σ = 331312128. Its totient is φ = 28263168.

The previous prime is 106430627. The next prime is 106430641. The reversal of 106430640 is 46034601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106430640² = 22654962261619200, 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 106430640.

It is not an unprimeable number, because it can be changed into a prime (106430641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67137 + ... + 68703.

Almost surely, 2^106430640 is an apocalyptic number.

106430640 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 106430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165656064).

106430640 is an abundant number, since it is smaller than the sum of its proper divisors (224881488).

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

106430640 is a wasteful number, since it uses less digits than its factorization.

106430640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106430640 is about 10316.5226699698. The cubic root of 106430640 is about 473.9023815779.

The spelling of 106430640 in words is "one hundred six million, four hundred thirty thousand, six hundred forty".