106114600 has 48 divisors (see below), whose sum is σ = 250430400. Its totient is φ = 41807040.

The previous prime is 106114559. The next prime is 106114607. The reversal of 106114600 is 6411601.

It is a happy number.

It is a super-2 number, since 2×106114600² = 22520616666320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106114607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9441 + ... + 17359.

It is an arithmetic number, because the mean of its divisors is an integer number (5217300).

Almost surely, 2^106114600 is an apocalyptic number.

106114600 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 106114600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125215200).

106114600 is an abundant number, since it is smaller than the sum of its proper divisors (144315800).

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

106114600 is a wasteful number, since it uses less digits than its factorization.

106114600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8002 (or 7993 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 106114600 is about 10301.1941055394. The cubic root of 106114600 is about 473.4328407250.

The spelling of 106114600 in words is "one hundred six million, one hundred fourteen thousand, six hundred".