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105434148 = 22367711847
BaseRepresentation
bin1100100100011…
…00110000100100
321100101121110110
412102030300210
5203442343043
614243453020
72420114121
oct622146044
9240347413
10105434148
1154573266
122b387170
1318ac7091
1410007748
1593c9b33
hex648cc24

105434148 has 48 divisors (see below), whose sum is σ = 253338624. Its totient is φ = 34114080.

The previous prime is 105434107. The next prime is 105434149. The reversal of 105434148 is 841434501.

It is a super-2 number, since 2×1054341482 = 22232719128971808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105434149) 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, 56161 + ... + 58007.

It is an arithmetic number, because the mean of its divisors is an integer number (5277888).

Almost surely, 2105434148 is an apocalyptic number.

It is an amenable number.

105434148 is an abundant number, since it is smaller than the sum of its proper divisors (147904476).

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

105434148 is a wasteful number, since it uses less digits than its factorization.

105434148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 105434148 is about 10268.1131664975. The cubic root of 105434148 is about 472.4187189768.

Adding to 105434148 its reverse (841434501), we get a palindrome (946868649).

The spelling of 105434148 in words is "one hundred five million, four hundred thirty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 67 71 134 142 201 213 268 284 402 426 804 852 1847 3694 4757 5541 7388 9514 11082 14271 19028 22164 28542 57084 123749 131137 247498 262274 371247 393411 494996 524548 742494 786822 1484988 1573644 8786179 17572358 26358537 35144716 52717074 105434148