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105744012 = 223111747123
BaseRepresentation
bin1100100110110…
…00011010001100
321100222100111220
412103120122030
5204032302022
614254243340
72422544403
oct623303214
9240870456
10105744012
1154765050
122b4b6550
1318ba512a
141008863a
15943b85c
hex64d868c

105744012 has 48 divisors (see below), whose sum is σ = 285005952. Its totient is φ = 30158080.

The previous prime is 105743999. The next prime is 105744013. The reversal of 105744012 is 210447501.

It is a super-2 number, since 2×1057440122 = 22363592147712288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105744013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21318 + ... + 25805.

It is an arithmetic number, because the mean of its divisors is an integer number (5937624).

Almost surely, 2105744012 is an apocalyptic number.

105744012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105744012 is an abundant number, since it is smaller than the sum of its proper divisors (179261940).

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

105744012 is a wasteful number, since it uses less digits than its factorization.

105744012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47158 (or 47156 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 105744012 is about 10283.1907499569. The cubic root of 105744012 is about 472.8810688086.

The spelling of 105744012 in words is "one hundred five million, seven hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 47123 94246 141369 188492 282738 518353 565476 801091 1036706 1555059 1602182 2073412 2403273 3110118 3204364 4806546 6220236 8812001 9613092 17624002 26436003 35248004 52872006 105744012