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106904380 = 22511796151
BaseRepresentation
bin1100101111100…
…11101100111100
321110011022020111
412113303230330
5204331420010
614335155404
72435446402
oct627635474
9243138214
10106904380
1155387930
122b975b64
13191c033b
14102ab472
1595ba58a
hex65f3b3c

106904380 has 48 divisors (see below), whose sum is σ = 248048640. Its totient is φ = 38376000.

The previous prime is 106904377. The next prime is 106904383. The reversal of 106904380 is 83409601.

It is an interprime number because it is at equal distance from previous prime (106904377) and next prime (106904383).

It is a super-2 number, since 2×1069043802 = 22857092926368800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106904383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14305 + ... + 20455.

It is an arithmetic number, because the mean of its divisors is an integer number (5167680).

Almost surely, 2106904380 is an apocalyptic number.

106904380 is a gapful number since it is divisible by the number (10) 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 106904380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124024320).

106904380 is an abundant number, since it is smaller than the sum of its proper divisors (141144260).

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

106904380 is a wasteful number, since it uses less digits than its factorization.

106904380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 106904380 is about 10339.4574325735. The cubic root of 106904380 is about 474.6044796159.

The spelling of 106904380 in words is "one hundred six million, nine hundred four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 6151 8690 12302 17380 24604 30755 61510 67661 123020 135322 270644 338305 485929 676610 971858 1353220 1943716 2429645 4859290 5345219 9718580 10690438 21380876 26726095 53452190 106904380