106468100 has 18 divisors (see below), whose sum is σ = 231035994. Its totient is φ = 42587200.

The previous prime is 106468079. The next prime is 106468111. The reversal of 106468100 is 1864601.

It can be written as a sum of positive squares in 3 ways, for example, as 2876416 + 103591684 = 1696^2 + 10178^2 .

It is a super-2 number, since 2×106468100² = 22670912635220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106468100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 532241 + ... + 532440.

It is an arithmetic number, because the mean of its divisors is an integer number (12835333).

Almost surely, 2^106468100 is an apocalyptic number.

106468100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106468100 is an abundant number, since it is smaller than the sum of its proper divisors (124567894).

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

106468100 is a wasteful number, since it uses less digits than its factorization.

106468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064695 (or 1064688 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 106468100 is about 10318.3380444721. The cubic root of 106468100 is about 473.9579742809.

The spelling of 106468100 in words is "one hundred six million, four hundred sixty-eight thousand, one hundred".