106278048 has 48 divisors (see below), whose sum is σ = 309980160. Its totient is φ = 35425728.

The previous prime is 106278031. The next prime is 106278049. The reversal of 106278048 is 840872601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106278048² = 22590046973380608, which contains 22 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 (106278049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60640 + ... + 62367.

It is an arithmetic number, because the mean of its divisors is an integer number (6457920).

Almost surely, 2^106278048 is an apocalyptic number.

106278048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106278048 is an abundant number, since it is smaller than the sum of its proper divisors (203702112).

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

106278048 is a wasteful number, since it uses less digits than its factorization.

106278048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123026 (or 123012 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 106278048 is about 10309.1245021098. The cubic root of 106278048 is about 473.6757917568.

The spelling of 106278048 in words is "one hundred six million, two hundred seventy-eight thousand, forty-eight".