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106149012 = 22364313757
BaseRepresentation
bin1100101001110…
…11010010010100
321101201221001220
412110323102110
5204133232022
614311050340
72426152224
oct624732224
9241657056
10106149012
1154a11362
122b6709b0
1318cb7588
1410152084
1594bb85c
hex653b494

106149012 has 24 divisors (see below), whose sum is σ = 248084256. Its totient is φ = 35325408.

The previous prime is 106148993. The next prime is 106149031. The reversal of 106149012 is 210941601.

It is an interprime number because it is at equal distance from previous prime (106148993) and next prime (106149031).

It is a super-2 number, since 2×1061490122 = 22535225497152288, which contains 22 as substring.

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, 838 + ... + 14594.

It is an arithmetic number, because the mean of its divisors is an integer number (10336844).

Almost surely, 2106149012 is an apocalyptic number.

106149012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106149012 is an abundant number, since it is smaller than the sum of its proper divisors (141935244).

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

106149012 is a wasteful number, since it uses less digits than its factorization.

106149012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14407 (or 14405 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 106149012 is about 10302.8642619419. The cubic root of 106149012 is about 473.4840118493.

The spelling of 106149012 in words is "one hundred six million, one hundred forty-nine thousand, twelve".

Divisors: 1 2 3 4 6 12 643 1286 1929 2572 3858 7716 13757 27514 41271 55028 82542 165084 8845751 17691502 26537253 35383004 53074506 106149012