106104789 has 32 divisors (see below), whose sum is σ = 184515840. Its totient is φ = 58988736.

The previous prime is 106104737. The next prime is 106104799. The reversal of 106104789 is 987401601.

It is not a de Polignac number, because 106104789 - 2¹³ = 106096597 is a prime.

It is a super-2 number, since 2×106104789² = 22516452497469042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106104799) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594 + ... + 14579.

It is an arithmetic number, because the mean of its divisors is an integer number (5766120).

Almost surely, 2^106104789 is an apocalyptic number.

It is an amenable number.

106104789 is a deficient number, since it is larger than the sum of its proper divisors (78411051).

106104789 is a wasteful number, since it uses less digits than its factorization.

106104789 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15226 (or 15220 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106104789 is about 10300.7178876038. The cubic root of 106104789 is about 473.4182496045.

The spelling of 106104789 in words is "one hundred six million, one hundred four thousand, seven hundred eighty-nine".