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106474368 = 27371113277
BaseRepresentation
bin1100101100010…
…10101110000000
321102100110101010
412112022232000
5204224134433
614322040520
72432005620
oct626125600
9242313333
10106474368
1155113850
122b7a9140
131909c6b0
14101d8880
159532e63
hex658ab80

106474368 has 256 divisors, whose sum is σ = 381104640. Its totient is φ = 25436160.

The previous prime is 106474343. The next prime is 106474393. The reversal of 106474368 is 863474601.

It is an interprime number because it is at equal distance from previous prime (106474343) and next prime (106474393).

It is a super-2 number, since 2×1064743682 = 22673582081998848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384246 + ... + 384522.

It is an arithmetic number, because the mean of its divisors is an integer number (1488690).

Almost surely, 2106474368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106474368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190552320).

106474368 is an abundant number, since it is smaller than the sum of its proper divisors (274630272).

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

106474368 is a wasteful number, since it uses less digits than its factorization.

106474368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 106474368 is about 10318.6417710860. The cubic root of 106474368 is about 473.9672750645.

It can be divided in two parts, 106 and 474368, that added together give a palindrome (474474).

The spelling of 106474368 in words is "one hundred six million, four hundred seventy-four thousand, three hundred sixty-eight".