106512600 has 96 divisors (see below), whose sum is σ = 332478720. Its totient is φ = 28206720.

The previous prime is 106512587. The next prime is 106512607. The reversal of 106512600 is 6215601.

It is a happy number.

It is a super-2 number, since 2×106512600² = 22689867917520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106512607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99669 + ... + 100731.

It is an arithmetic number, because the mean of its divisors is an integer number (3463320).

Almost surely, 2^106512600 is an apocalyptic number.

106512600 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 106512600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

106512600 is an abundant number, since it is smaller than the sum of its proper divisors (225966120).

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

106512600 is a wasteful number, since it uses less digits than its factorization.

106512600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106512600 is about 10320.4941742147. The cubic root of 106512600 is about 474.0239977880.

The spelling of 106512600 in words is "one hundred six million, five hundred twelve thousand, six hundred".