106256664 has 128 divisors (see below), whose sum is σ = 329184000. Its totient is φ = 31560192.

The previous prime is 106256663. The next prime is 106256669. The reversal of 106256664 is 466652601.

It is a happy number.

It is a super-2 number, since 2×106256664² = 22580957288817792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106256663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69007 + ... + 70529.

It is an arithmetic number, because the mean of its divisors is an integer number (2571750).

Almost surely, 2^106256664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106256664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592000).

106256664 is an abundant number, since it is smaller than the sum of its proper divisors (222927336).

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

106256664 is a wasteful number, since it uses less digits than its factorization.

106256664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 106256664 is about 10308.0873104568. The cubic root of 106256664 is about 473.6440204966.

The spelling of 106256664 in words is "one hundred six million, two hundred fifty-six thousand, six hundred sixty-four".