101628468 has 36 divisors (see below), whose sum is σ = 257215140. Its totient is φ = 33833856.

The previous prime is 101628433. The next prime is 101628487. The reversal of 101628468 is 864826101.

It can be written as a sum of positive squares in 2 ways, for example, as 81216144 + 20412324 = 9012^2 + 4518^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 43096 + ... + 45392.

It is an arithmetic number, because the mean of its divisors is an integer number (7144865).

Almost surely, 2^101628468 is an apocalyptic number.

101628468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101628468 is an abundant number, since it is smaller than the sum of its proper divisors (155586672).

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

101628468 is a wasteful number, since it uses less digits than its factorization.

101628468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 101628468 is about 10081.0945834269. The cubic root of 101628468 is about 466.6648886554.

The spelling of 101628468 in words is "one hundred one million, six hundred twenty-eight thousand, four hundred sixty-eight".