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106083964 = 2273788713
BaseRepresentation
bin1100101001010…
…11011001111100
321101121121211201
412110223121330
5204124141324
614305425244
72425461460
oct624533174
9241547751
10106083964
11549774a8
122b63b224
1318c93a9c
14101364a0
1594a7444
hex652b67c

106083964 has 12 divisors (see below), whose sum is σ = 212167984. Its totient is φ = 45464544.

The previous prime is 106083959. The next prime is 106084003. The reversal of 106083964 is 469380601.

106083964 is an admirable number.

It is a super-2 number, since 2×1060839642 = 22507614835906592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1894329 + ... + 1894384.

Almost surely, 2106083964 is an apocalyptic number.

106083964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106083964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

106083964 is a wasteful number, since it uses less digits than its factorization.

106083964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788724 (or 3788722 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 106083964 is about 10299.7069861234. The cubic root of 106083964 is about 473.3872752560.

The spelling of 106083964 in words is "one hundred six million, eighty-three thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 3788713 7577426 15154852 26520991 53041982 106083964