106154664 has 256 divisors, whose sum is σ = 364953600. Its totient is φ = 24883200.

The previous prime is 106154651. The next prime is 106154687. The reversal of 106154664 is 466451601.

It is a happy number.

It is a super-2 number, since 2×106154664² = 22537625377905792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 973842 + ... + 973950.

It is an arithmetic number, because the mean of its divisors is an integer number (1425600).

Almost surely, 2^106154664 is an apocalyptic number.

106154664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106154664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182476800).

106154664 is an abundant number, since it is smaller than the sum of its proper divisors (258798936).

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

106154664 is a wasteful number, since it uses less digits than its factorization.

106154664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 106154664 is about 10303.1385509465. The cubic root of 106154664 is about 473.4924153947.

The spelling of 106154664 in words is "one hundred six million, one hundred fifty-four thousand, six hundred sixty-four".