106430100 has 144 divisors (see below), whose sum is σ = 358310400. Its totient is φ = 23886720.

The previous prime is 106430069. The next prime is 106430111. The reversal of 106430100 is 1034601.

It is a super-2 number, since 2×106430100² = 22654732372020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106430100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123471 + ... + 124329.

Almost surely, 2^106430100 is an apocalyptic number.

106430100 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 106430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179155200).

106430100 is an abundant number, since it is smaller than the sum of its proper divisors (251880300).

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

106430100 is a wasteful number, since it uses less digits than its factorization.

106430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 106430100 is about 10316.4964983273. The cubic root of 106430100 is about 473.9015800928.

Adding to 106430100 its reverse (1034601), we get a palindrome (107464701).

The spelling of 106430100 in words is "one hundred six million, four hundred thirty thousand, one hundred".