105991600 has 240 divisors, whose sum is σ = 319667040. Its totient is φ = 33177600.

The previous prime is 105991591. The next prime is 105991619. The reversal of 105991600 is 6199501.

It is a super-2 number, since 2×105991600² = 22468438541120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 972346 + ... + 972454.

It is an arithmetic number, because the mean of its divisors is an integer number (1331946).

Almost surely, 2^105991600 is an apocalyptic number.

105991600 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 105991600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159833520).

105991600 is an abundant number, since it is smaller than the sum of its proper divisors (213675440).

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

105991600 is a wasteful number, since it uses less digits than its factorization.

105991600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 31.

The square root of 105991600 is about 10295.2221928427. Note that the first 3 decimals coincide. The cubic root of 105991600 is about 473.2498475165.

The spelling of 105991600 in words is "one hundred five million, nine hundred ninety-one thousand, six hundred".