106451520 has 336 divisors, whose sum is σ = 411406848. Its totient is φ = 23224320.

The previous prime is 106451497. The next prime is 106451533. The reversal of 106451520 is 25154601.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×106451520² = 22663852220620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1458204 + ... + 1458276.

Almost surely, 2^106451520 is an apocalyptic number.

106451520 is a gapful number since it is divisible by the number (10) 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 106451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205703424).

106451520 is an abundant number, since it is smaller than the sum of its proper divisors (304955328).

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

106451520 is a wasteful number, since it uses less digits than its factorization.

106451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 106451520 is about 10317.5345892321. The cubic root of 106451520 is about 473.9333702566.

The spelling of 106451520 in words is "one hundred six million, four hundred fifty-one thousand, five hundred twenty".