106119600 has 120 divisors (see below), whose sum is σ = 342454272. Its totient is φ = 28089600.

The previous prime is 106119599. The next prime is 106119659. The reversal of 106119600 is 6911601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106119600² = 22522739008320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 228969 + ... + 229431.

Almost surely, 2^106119600 is an apocalyptic number.

106119600 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 106119600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171227136).

106119600 is an abundant number, since it is smaller than the sum of its proper divisors (236334672).

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

106119600 is a wasteful number, since it uses less digits than its factorization.

106119600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 106119600 is about 10301.4367929915. The cubic root of 106119600 is about 473.4402764817.

The spelling of 106119600 in words is "one hundred six million, one hundred nineteen thousand, six hundred".