101678148 has 72 divisors (see below), whose sum is σ = 301968576. Its totient is φ = 28440000.

The previous prime is 101678131. The next prime is 101678149. The reversal of 101678148 is 841876101.

It is a super-3 number, since 3×101678148³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101678149) 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 23 ways as a sum of consecutive naturals, for example, 4728 + ... + 15023.

It is an arithmetic number, because the mean of its divisors is an integer number (4194008).

Almost surely, 2^101678148 is an apocalyptic number.

101678148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101678148 is an abundant number, since it is smaller than the sum of its proper divisors (200290428).

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

101678148 is a wasteful number, since it uses less digits than its factorization.

101678148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19785 (or 19780 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 101678148 is about 10083.5583005207. The cubic root of 101678148 is about 466.7409176638.

The spelling of 101678148 in words is "one hundred one million, six hundred seventy-eight thousand, one hundred forty-eight".