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106245756 = 2234476977
BaseRepresentation
bin1100101010100…
…10111001111100
321101220211210000
412111102321330
5204144331011
614313114300
72430034251
oct625227174
9241824700
10106245756
1154a78011
122b6b8990
131901c616
1410179428
1594da356
hex6552e7c

106245756 has 60 divisors (see below), whose sum is σ = 283697568. Its totient is φ = 34656768.

The previous prime is 106245731. The next prime is 106245781. The reversal of 106245756 is 657542601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106245731) and next prime (106245781).

It is a super-2 number, since 2×1062457562 = 22576321336023072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106245756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11740 + ... + 18716.

Almost surely, 2106245756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106245756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141848784).

106245756 is an abundant number, since it is smaller than the sum of its proper divisors (177451812).

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

106245756 is a wasteful number, since it uses less digits than its factorization.

106245756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 106245756 is about 10307.5581977498. The cubic root of 106245756 is about 473.6278123029.

The spelling of 106245756 in words is "one hundred six million, two hundred forty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2538 3807 5076 6977 7614 13954 15228 20931 27908 41862 62793 83724 125586 188379 251172 327919 376758 565137 655838 753516 983757 1130274 1311676 1967514 2260548 2951271 3935028 5902542 8853813 11805084 17707626 26561439 35415252 53122878 106245756