106302864 has 40 divisors (see below), whose sum is σ = 284088960. Its totient is φ = 34211968.

The previous prime is 106302857. The next prime is 106302869. The reversal of 106302864 is 468203601.

It is a super-2 number, since 2×106302864² = 22600597789204992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106302869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36792 + ... + 39575.

It is an arithmetic number, because the mean of its divisors is an integer number (7102224).

Almost surely, 2^106302864 is an apocalyptic number.

It is an amenable number.

106302864 is an abundant number, since it is smaller than the sum of its proper divisors (177786096).

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

106302864 is a wasteful number, since it uses less digits than its factorization.

106302864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76407 (or 76401 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 106302864 is about 10310.3280258195. The cubic root of 106302864 is about 473.7126567660.

The spelling of 106302864 in words is "one hundred six million, three hundred two thousand, eight hundred sixty-four".