106465772 has 24 divisors (see below), whose sum is σ = 215631360. Its totient is φ = 45049680.

The previous prime is 106465771. The next prime is 106465783. The reversal of 106465772 is 277564601.

It is a super-2 number, since 2×106465772² = 22669921215111968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106465771) 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, 21854 + ... + 26277.

It is an arithmetic number, because the mean of its divisors is an integer number (8984640).

Almost surely, 2^106465772 is an apocalyptic number.

It is an amenable number.

106465772 is an abundant number, since it is smaller than the sum of its proper divisors (109165588).

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

106465772 is a wasteful number, since it uses less digits than its factorization.

106465772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48221 (or 48219 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 106465772 is about 10318.2252349908. The cubic root of 106465772 is about 473.9545197807.

The spelling of 106465772 in words is "one hundred six million, four hundred sixty-five thousand, seven hundred seventy-two".