106461510 has 32 divisors (see below), whose sum is σ = 255951360. Its totient is φ = 28340448.

The previous prime is 106461491. The next prime is 106461517. The reversal of 106461510 is 15164601.

It is a super-2 number, since 2×106461510² = 22668106222960200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106461517) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16531 + ... + 22049.

It is an arithmetic number, because the mean of its divisors is an integer number (7998480).

Almost surely, 2^106461510 is an apocalyptic number.

106461510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106461510 is an abundant number, since it is smaller than the sum of its proper divisors (149489850).

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

106461510 is a wasteful number, since it uses less digits than its factorization.

106461510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 106461510 is about 10318.0187051585. The cubic root of 106461510 is about 473.9481953033.

The spelling of 106461510 in words is "one hundred six million, four hundred sixty-one thousand, five hundred ten".