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106041040 = 2457238233
BaseRepresentation
bin1100101001000…
…00111011010000
321101112102221221
412110200323100
5204121303130
614304454424
72425222360
oct624407320
9241472857
10106041040
1154948226
122b61a414
1318c7a3a1
14101249a0
15949987a
hex6520ed0

106041040 has 80 divisors (see below), whose sum is σ = 294052608. Its totient is φ = 34771968.

The previous prime is 106041029. The next prime is 106041043. The reversal of 106041040 is 40140601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1060410402 = 22489404328563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106041043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8764 + ... + 16996.

Almost surely, 2106041040 is an apocalyptic number.

106041040 is a gapful number since it is divisible by the number (10) 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 106041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026304).

106041040 is an abundant number, since it is smaller than the sum of its proper divisors (188011568).

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

106041040 is a wasteful number, since it uses less digits than its factorization.

106041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 106041040 is about 10297.6230266989. The cubic root of 106041040 is about 473.3234188670.

Adding to 106041040 its reverse (40140601), we get a palindrome (146181641).

The spelling of 106041040 in words is "one hundred six million, forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 8233 12880 16466 32932 41165 57631 65864 82330 115262 131728 164660 189359 230524 288155 329320 378718 461048 576310 658640 757436 922096 946795 1152620 1325513 1514872 1893590 2305240 2651026 3029744 3787180 4610480 5302052 6627565 7574360 10604104 13255130 15148720 21208208 26510260 53020520 106041040