106054704 has 160 divisors (see below), whose sum is σ = 368547840. Its totient is φ = 28505088.

The previous prime is 106054693. The next prime is 106054757. The reversal of 106054704 is 407450601.

106054704 is a `hidden beast` number, since 10 + 605 + 47 + 0 + 4 = 666.

It is a super-2 number, since 2×106054704² = 22495200481055232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50377 + ... + 52439.

It is an arithmetic number, because the mean of its divisors is an integer number (2303424).

Almost surely, 2^106054704 is an apocalyptic number.

106054704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106054704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184273920).

106054704 is an abundant number, since it is smaller than the sum of its proper divisors (262493136).

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

106054704 is a wasteful number, since it uses less digits than its factorization.

106054704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 106054704 is about 10298.2864594067. The cubic root of 106054704 is about 473.3437481453.

The spelling of 106054704 in words is "one hundred six million, fifty-four thousand, seven hundred four".