106254864 has 45 divisors (see below), whose sum is σ = 297712623. Its totient is φ = 35377056.

The previous prime is 106254847. The next prime is 106254881. The reversal of 106254864 is 468452601.

The square root of 106254864 is 10308.

It is a perfect power (a square), and thus also a powerful number.

106254864 is a `hidden beast` number, since 106 + 2 + 548 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (106254847) and next prime (106254881).

It is a super-2 number, since 2×106254864² = 22580192247316992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123267 + ... + 124125.

Almost surely, 2^106254864 is an apocalyptic number.

106254864 is the 10308-th square number.

It is an amenable number.

106254864 is an abundant number, since it is smaller than the sum of its proper divisors (191457759).

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

106254864 is an frugal number, since it uses more digits than its factorization.

106254864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 106254864 is about 473.6413459536.

Multiplying 106254864 by its sum of digits (36), we get a square (3825175104 = 61848²).

106254864 divided by its sum of digits (36) gives a square (2951524 = 1718²).

The spelling of 106254864 in words is "one hundred six million, two hundred fifty-four thousand, eight hundred sixty-four".