106457780 has 48 divisors (see below), whose sum is σ = 262652544. Its totient is φ = 35733120.

The previous prime is 106457719. The next prime is 106457789. The reversal of 106457780 is 87754601.

It is a super-2 number, since 2×106457780² = 22666517845056800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106457789) 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 15 ways as a sum of consecutive naturals, for example, 15752 + ... + 21471.

It is an arithmetic number, because the mean of its divisors is an integer number (5471928).

Almost surely, 2^106457780 is an apocalyptic number.

106457780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106457780 is an abundant number, since it is smaller than the sum of its proper divisors (156194764).

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

106457780 is a wasteful number, since it uses less digits than its factorization.

106457780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37256 (or 37254 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 106457780 is about 10317.8379518192. The cubic root of 106457780 is about 473.9426601341.

The spelling of 106457780 in words is "one hundred six million, four hundred fifty-seven thousand, seven hundred eighty".