106077940 has 24 divisors (see below), whose sum is σ = 230446440. Its totient is φ = 40967808.

The previous prime is 106077913. The next prime is 106077971. The reversal of 106077940 is 49770601.

It can be written as a sum of positive squares in 4 ways, for example, as 8503056 + 97574884 = 2916^2 + 9878^2 .

It is a super-2 number, since 2×106077940² = 22505058709287200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106077896 and 106077905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90867 + ... + 92026.

It is an arithmetic number, because the mean of its divisors is an integer number (9601935).

Almost surely, 2^106077940 is an apocalyptic number.

106077940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106077940 is an abundant number, since it is smaller than the sum of its proper divisors (124368500).

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

106077940 is a wasteful number, since it uses less digits than its factorization.

106077940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182931 (or 182929 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 106077940 is about 10299.4145464682. The cubic root of 106077940 is about 473.3783146214.

The spelling of 106077940 in words is "one hundred six million, seventy-seven thousand, nine hundred forty".