106149456 has 240 divisors, whose sum is σ = 363151360. Its totient is φ = 28304640.

The previous prime is 106149443. The next prime is 106149493. The reversal of 106149456 is 654941601.

It is a super-2 number, since 2×106149456² = 22535414018191872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106149456.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1343625 + ... + 1343703.

Almost surely, 2^106149456 is an apocalyptic number.

106149456 is a gapful number since it is divisible by the number (16) 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 106149456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181575680).

106149456 is an abundant number, since it is smaller than the sum of its proper divisors (257001904).

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

106149456 is a wasteful number, since it uses less digits than its factorization.

106149456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 106149456 is about 10302.8858093255. The cubic root of 106149456 is about 473.4846720112.

The spelling of 106149456 in words is "one hundred six million, one hundred forty-nine thousand, four hundred fifty-six".