106952464 has 20 divisors (see below), whose sum is σ = 214366860. Its totient is φ = 51632000.

The previous prime is 106952441. The next prime is 106952471. The reversal of 106952464 is 464259601.

It can be written as a sum of positive squares in 2 ways, for example, as 58064400 + 48888064 = 7620^2 + 6992^2 .

It is a super-2 number, since 2×106952464² = 22877659111342592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114787 + ... + 115714.

It is an arithmetic number, because the mean of its divisors is an integer number (10718343).

Almost surely, 2^106952464 is an apocalyptic number.

It is an amenable number.

106952464 is an abundant number, since it is smaller than the sum of its proper divisors (107414396).

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

106952464 is a wasteful number, since it uses less digits than its factorization.

106952464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230538 (or 230532 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 106952464 is about 10341.7824382454. The cubic root of 106952464 is about 474.6756256287.

It can be divided in two parts, 106952 and 464, that added together give a triangular number (107416 = T₄₆₃).

The spelling of 106952464 in words is "one hundred six million, nine hundred fifty-two thousand, four hundred sixty-four".