106416200 has 48 divisors (see below), whose sum is σ = 269915760. Its totient is φ = 38696000.

The previous prime is 106416179. The next prime is 106416227. The reversal of 106416200 is 2614601.

It is a happy number.

It is a super-2 number, since 2×106416200² = 22648815244880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21986 + ... + 26385.

It is an arithmetic number, because the mean of its divisors is an integer number (5623245).

Almost surely, 2^106416200 is an apocalyptic number.

106416200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106416200 is an abundant number, since it is smaller than the sum of its proper divisors (163499560).

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

106416200 is a wasteful number, since it uses less digits than its factorization.

106416200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48398 (or 48389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 106416200 is about 10315.8227980128. The cubic root of 106416200 is about 473.8809483393.

The spelling of 106416200 in words is "one hundred six million, four hundred sixteen thousand, two hundred".