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105191380 = 2257751367
BaseRepresentation
bin1100100010100…
…01011111010100
321022221021110001
412101101133110
5203412111010
614234341044
72415053260
oct621213724
9238837401
10105191380
1154417928
122b28a784
1318a40728
14dd830a0
15937cc3a
hex64517d4

105191380 has 24 divisors (see below), whose sum is σ = 252459648. Its totient is φ = 36065568.

The previous prime is 105191377. The next prime is 105191417. The reversal of 105191380 is 83191501.

It is a super-2 number, since 2×1051913802 = 22130452852608800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 375544 + ... + 375823.

It is an arithmetic number, because the mean of its divisors is an integer number (10519152).

Almost surely, 2105191380 is an apocalyptic number.

105191380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105191380 is an abundant number, since it is smaller than the sum of its proper divisors (147268268).

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

105191380 is a wasteful number, since it uses less digits than its factorization.

105191380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751383 (or 751381 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The square root of 105191380 is about 10256.2849024391. The cubic root of 105191380 is about 472.0558501852.

The spelling of 105191380 in words is "one hundred five million, one hundred ninety-one thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 751367 1502734 3005468 3756835 5259569 7513670 10519138 15027340 21038276 26297845 52595690 105191380