106461552 has 40 divisors (see below), whose sum is σ = 284513040. Its totient is φ = 34263040.

The previous prime is 106461539. The next prime is 106461557. The reversal of 106461552 is 255164601.

It is a super-2 number, since 2×106461552² = 22668124108497408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106461557) 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 7 ways as a sum of consecutive naturals, for example, 36849 + ... + 39632.

It is an arithmetic number, because the mean of its divisors is an integer number (7112826).

Almost surely, 2^106461552 is an apocalyptic number.

106461552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106461552 is an abundant number, since it is smaller than the sum of its proper divisors (178051488).

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

106461552 is a wasteful number, since it uses less digits than its factorization.

106461552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76521 (or 76515 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 106461552 is about 10318.0207404327. The cubic root of 106461552 is about 473.9482576288.

The spelling of 106461552 in words is "one hundred six million, four hundred sixty-one thousand, five hundred fifty-two".