106721940 has 96 divisors (see below), whose sum is σ = 327229056. Its totient is φ = 25827840.

The previous prime is 106721939. The next prime is 106721941. The reversal of 106721940 is 49127601.

106721940 = T₁₈₄₀ + T₁₈₄₁ + ... + T₁₉₀₀.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106721939) and next prime (106721941).

It is a super-2 number, since 2×106721940² = 22779144954727200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106721898 and 106721907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106721941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46459 + ... + 48701.

It is an arithmetic number, because the mean of its divisors is an integer number (3408636).

Almost surely, 2^106721940 is an apocalyptic number.

106721940 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 106721940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163614528).

106721940 is an abundant number, since it is smaller than the sum of its proper divisors (220507116).

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

106721940 is a wasteful number, since it uses less digits than its factorization.

106721940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 106721940 is about 10330.6311520642. The cubic root of 106721940 is about 474.3343436821.

The spelling of 106721940 in words is "one hundred six million, seven hundred twenty-one thousand, nine hundred forty".