106764504 has 64 divisors (see below), whose sum is σ = 332778240. Its totient is φ = 27730560.

The previous prime is 106764503. The next prime is 106764517. The reversal of 106764504 is 405467601.

It is a super-2 number, since 2×106764504² = 22797318628732032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106764503) 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, 27039 + ... + 30734.

It is an arithmetic number, because the mean of its divisors is an integer number (5199660).

Almost surely, 2^106764504 is an apocalyptic number.

106764504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106764504 is an abundant number, since it is smaller than the sum of its proper divisors (226013736).

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

106764504 is a wasteful number, since it uses less digits than its factorization.

106764504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57800 (or 57796 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 106764504 is about 10332.6910338014. The cubic root of 106764504 is about 474.3973950207.

The spelling of 106764504 in words is "one hundred six million, seven hundred sixty-four thousand, five hundred four".