106960800 has 144 divisors (see below), whose sum is σ = 356977152. Its totient is φ = 27801600.

The previous prime is 106960771. The next prime is 106960813. The reversal of 106960800 is 8069601.

It is a super-2 number, since 2×106960800² = 22881225473280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97857 + ... + 98943.

It is an arithmetic number, because the mean of its divisors is an integer number (2479008).

Almost surely, 2^106960800 is an apocalyptic number.

106960800 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 106960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576).

106960800 is an abundant number, since it is smaller than the sum of its proper divisors (250016352).

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

106960800 is a wasteful number, since it uses less digits than its factorization.

106960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 106960800 is about 10342.1854556955. The cubic root of 106960800 is about 474.6879575659.

The spelling of 106960800 in words is "one hundred six million, nine hundred sixty thousand, eight hundred".