106377940 has 12 divisors (see below), whose sum is σ = 223393716. Its totient is φ = 42551168.

The previous prime is 106377937. The next prime is 106377949. The reversal of 106377940 is 49773601.

It can be written as a sum of positive squares in 2 ways, for example, as 21958596 + 84419344 = 4686^2 + 9188^2 .

It is a super-2 number, since 2×106377940² = 22632532237287200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106377940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106377949) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2659429 + ... + 2659468.

It is an arithmetic number, because the mean of its divisors is an integer number (18616143).

Almost surely, 2^106377940 is an apocalyptic number.

106377940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106377940 is an abundant number, since it is smaller than the sum of its proper divisors (117015776).

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

106377940 is a wasteful number, since it uses less digits than its factorization.

106377940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318906 (or 5318904 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 106377940 is about 10313.9681985160. The cubic root of 106377940 is about 473.8241497868.

It can be divided in two parts, 1063 and 77940, that added together give a triangular number (79003 = T₃₉₇).

The spelling of 106377940 in words is "one hundred six million, three hundred seventy-seven thousand, nine hundred forty".