106505020 has 24 divisors (see below), whose sum is σ = 223884864. Its totient is φ = 42559296.

The previous prime is 106505011. The next prime is 106505027. The reversal of 106505020 is 20505601.

It is a happy number.

It is a super-2 number, since 2×106505020² = 22686638570400800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106505027) 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 7 ways as a sum of consecutive naturals, for example, 24534 + ... + 28546.

It is an arithmetic number, because the mean of its divisors is an integer number (9328536).

Almost surely, 2^106505020 is an apocalyptic number.

106505020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106505020 is an abundant number, since it is smaller than the sum of its proper divisors (117379844).

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

106505020 is a wasteful number, since it uses less digits than its factorization.

106505020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 106505020 is about 10320.1269372038. The cubic root of 106505020 is about 474.0127528363.

It can be divided in two parts, 1065050 and 20, that added together give a triangular number (1065070 = T₁₄₅₉).

The spelling of 106505020 in words is "one hundred six million, five hundred five thousand, twenty".