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106120924 = 22713476203
BaseRepresentation
bin1100101001101…
…00011011011100
321101200111112121
412110310123130
5204131332144
614310312324
72426004310
oct624643334
9241614477
10106120924
11549a2248
122b6586a4
1318ca7860
1410145b40
1594b3384
hex65346dc

106120924 has 48 divisors (see below), whose sum is σ = 233468928. Its totient is φ = 41082048.

The previous prime is 106120897. The next prime is 106120951. The reversal of 106120924 is 429021601.

It is an interprime number because it is at equal distance from previous prime (106120897) and next prime (106120951).

It is a super-2 number, since 2×1061209242 = 22523301021227552, 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 15 ways as a sum of consecutive naturals, for example, 14007 + ... + 20209.

It is an arithmetic number, because the mean of its divisors is an integer number (4863936).

Almost surely, 2106120924 is an apocalyptic number.

106120924 is a gapful number since it is divisible by the number (14) 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 106120924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116734464).

106120924 is an abundant number, since it is smaller than the sum of its proper divisors (127348004).

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

106120924 is a wasteful number, since it uses less digits than its factorization.

106120924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 106120924 is about 10301.5010556715. The cubic root of 106120924 is about 473.4422454309.

The spelling of 106120924 in words is "one hundred six million, one hundred twenty thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 47 52 91 94 182 188 329 364 611 658 1222 1316 2444 4277 6203 8554 12406 17108 24812 43421 80639 86842 161278 173684 291541 322556 564473 583082 1128946 1166164 2040787 2257892 3790033 4081574 7580066 8163148 15160132 26530231 53060462 106120924